Please help, performance task: trigonometric identities

Please Help, Performance Task: Trigonometric Identities

Answers

Answer 1

The answers are given below:

What is Trigonometry?

Trigonometry is a branch of mathematics that studies relationships between the sides and angles of triangles.

1. (cos x. cos y)(tan x + tan y) = sin (x+ y)

  (cos x. cos y)(tan x + tan y)

= cos x. cos y (sinx/ cos x + sin y/ cos y)

= sin x cos y + sin y cos x

= sin (x+ y)    [ sin ( x +y)]= sin x cos y + sin y cos x

= RHS

3. [tex]-\sin ^2\left(x\right)-\cos \left(2x\right)=0[/tex]

Using identity

[tex]-\cos ^2\left(x\right)=0[/tex]

cos ² x=0

Applying [tex]x^{n} =0[/tex] then x=0

So, cos x =0

General solution will be [tex]x=\frac{\pi }{2}+2\pi n,\:x=\frac{3\pi }{2}+2\pi n[/tex].

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Related Questions

m<1 = (3x + 4)º
m<2 = (3x + 4)º
m<3 = 29°
m<4 = 34°
m<5 = 25°

Answers

Answer: x = 44

Step-by-step explanation:

The exterior angles of a polygon add to 360 degrees so:

(3x+4)+(3x+4)+29+34+25=360 [forming equation]6x+96=360 [combine like terms]6x=264 [subtract 96 from both sides]x = 44 [divide both sides by 6]

Missing angles/math please help guys

Answers

Answer:

Step-by-step explanation:

In your math class, there are 8 boys and 11
girls. What is the ratio of boys to total
students?

Answers

Answer: 8 : 19

Step-by-Step Explanation:

No. Of Boys = 8
No. Of Girls = 11
Total No. Of Students = 19

Ratio of Boys to Total Students
= 8/19
=> 8 : 19

Answer: 8:19 ✅

Step-by-step explanation:

Hii, let me help you out! ^^

. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .

⚜ Part 1 - #of Students ⚜

First we should find the total number of students. This can be done by adding the number of boys in this particular math class plus the number of girls in that same class. This is shown below.

[tex]\boldsymbol{Number\;of\,students=\quad Number\;of\;Girls+\;Number\;of\;boys}[/tex]

The number of girls is 11, and the number of boys is 8. Now, it's just a matter of sticking in the known values.

[tex]\multimap\quad \tt 8+11=19\;Students[/tex]

[tex]\large\text{Part 1 is Successfully Completed!}[/tex]

⚜Part 2 - Ratio ⚜

Let's set up a ratio of boys to the total number of students.

This is shown below:

[tex]\boldsymbol{Boys:Total\:\#\;of\;students}[/tex]

Once again, this is simply a matter of sticking in the known values.

[tex]\multimap\quad \tt 8:19[/tex]

[tex]\large\text{Part 2 is Successfully Completed!}[/tex]

What's more, we found the ratio, which is what we needed! (:

Voila! There's our answer, cheers! (:

____________________________________

Hope I helped! Best wishes.

Reach far. Aim high, Dream big.

[tex]\underbrace[/tex]

Car A is traveling east at a steady speed of 50 miles per hour. After 2 hours, it is 140 miles east of Johnstown.
Car B is traveling east on the same road. its distance east of Johnstown is represented by the graph.
Where were the two cars in relation to each other when they began traveling?

Answers

The two cars in relation to each other when they began travelling will be car B was 20 miles east of car A. Then the correct option is A.

What is speed?

The distance covered by the particle or the body in an hour is called speed. It is a scalar quantity. It is the ratio of distance to time.

We know that the speed formula

Speed = Distance/Time

Car A is travelling east at a steady speed of 50 miles per hour.

Then the equation of car A is given as

y = 50x + C

where x be the number of miles and x be the number of hours.

Then we have

After 2 hours, it is 140 miles east of Johns town.

Then we have

y = 50x ..1

Car B is travelling east on the same road. its distance east of Johns town is represented by the graph.

Then the equation of car B will be

y = [(120 - 20) / (2 - 0)]x + 20

y = 50x + 20 ...2

Then the two cars in relation to each other when they began travelling will be car B was 20 miles east of car A.

Then the correct option is A.

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Answer:
Car A was 20 miles east of car B.

Step-by-step explanation:

Light travels at 300,000 km/s, how long would it take to travel from the sun which is 148800000 km away

Answers

Answer:

496 seconds

Step-by-step explanation:

148800000 ÷ 300000 = 496

PLEASE HELP - image attachment below, thanks! :)

Answers

32 as well according to some rule in geometry
What is the measure of R is 32 the answer

which expression is in simplest form?

Answers

Answer:

A.

Step-by-step explanation:

let me know if you want an explanation :))

D

Explain: it has simple letters and simple expression with simplest answer

If f(x) = 2x² - 5 and g(x) = 3x + 3, find (f- g)(x).
OA. 3x-2x2 - 2
OB. 2x²-3x-8
OC.-²2²-8
OD. 2x²-3x-2

Answers

(f- g)(x) = 2x²-3x -8 , Option B is the correct answer.

What is a Function ?

A function is a mathematical statement that derives relation between two variables.

Two functions are given in the question

f(x) = 2x² - 5

g(x) = 3x + 3

(f- g)(x) = ?

(f- g)(x) = (2x² - 5 - (3x + 3))

(f- g)(x) = 2x²-3x -8

Therefore Option B is the correct answer.

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10(x + 2) + 10 • 2 for x = 2

Answers

Answer:

60

Step-by-step explanation:

10(2 + 2) + 20

=10(4)+20

=40+20

=60

What is the value of 5x+3 when x=4?
9
12
23
60

Answers

Answer:

23

Step-by-step explanation:

substitute x = 4 into the expression

5x + 3 = 5(4) + 3 = 20 + 3 = 23

Hii!

____________________________________________________________

Answer:

The value is 23 - Choice [C] ✅

Step-by-step explanation:

STICK IN the value of x.

5x+3

5·4+3

MULTIPLY 5·4

20+3

ADD

23

--

Hope that this helped! Best wishes.

--

PLEASE HELP ASAP
:) thank you

Answers

Answer:

(16, 0) should be right.

Step-by-step explanation:

Well, I used to do the math, but after using Acellus a while, I found Symbolab.

It's suuuper handy with Algebra. I highly recommend.

How I found this intercept was enter:

intercept -2x+8y=-32

and bam it lists you all intercepts!

Question 2(10 pos

A football quarterback has 2 more chances to throw a touchdown before his team is forced to punt the ball. He mates the receiver the first trew of the time When his fest throw is incomplete he misses the receiver on the second throw 10% of the tame What is the probability of not throwing me ball to a receiver on either throw?

Answers

The chance of not throwing the ball to a receiver on either throw is 0.0375, or 3.75 per cent.

What is probability?

Probability is defined as the ratio of the number of favourable outcomes to the total number of outcomes in other words the probability is the number that shows the happening of the event.

This is event A when he misses the first throw. P(A) = 25%, or 0.25 Because event B takes place only after event A. When he misses on the second throw, event B occurs. P(B/A) = 15% or 0.15

P(A[tex]\cap[/tex]B) = P(A) P(B/A) P(A[tex]\cap[/tex]B)

P(A[tex]\cap[/tex]B) = (0.25)x(0.15) P(ANB)

P(A[tex]\cap[/tex]B) = 0.0375

Therefore the chance of not throwing the ball to a receiver on either throw is 0.0375, or 3.75 per cent.

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What is value of x? Enter your answer in the box.​

Answers

Answer:

x = 10

Step-by-step explanation:

the ray is an angle bisector and divides the opposite side into segments that are proportional to the other 2 sides , that is

[tex]\frac{x+4}{2x +1}[/tex] = [tex]\frac{8}{12}[/tex] = [tex]\frac{2}{3}[/tex] ( cross- multiply )

2(2x + 1) = 3(x + 4) ← distribute parenthesis

4x + 2 = 3x + 12 ( subtract 3x from both sides )

x + 2 = 12 ( subtract 2 from both sides )

x = 10

it takes two painters 4 days to complete a job. How long does does 1 painter take for the same job?

Answers

It will take 8 days

Answer:

Eight days in total.

Step-by-step explanation:

If it takes two painters four days to paint, one person should take twice as long, because of not having help from another person to make the painting process quicker. So, the single person would take eight days to paint in the same job. (Hope this helps!)

A variation on Momentary Time Sampling that involves counting the number of students in a classroom engaged in a target behavior at the designated time in the interval is known as

Answers

A variation on Momentary Time Sampling that involves counting the number of students in a classroom engaged in a target behaviour at the designated time in the interval is known as Planned Activity Check ( PLACHECK)

What is Momentary Time Sampling ?

Momentary Time Sampling is a method of recording a student's behaviour ,

It helps in understanding clearly the regularity of a student.

This method is used when the behaviour cannot be easily counted or it is difficult for the teacher to focus to get the exact duration in which the student showed severity to the work.

In easy words , a timer is set and from the start to the end of the timer , it is observed whether the required goal is achieved or not and what is the frequency at which that task is being done in the time interval.

Planned Activity Check ( PLACHECK) is when Momentary Time Sampling is done with the group , It provides the measure of a group behaviour.

Therefore ,

A variation on Momentary Time Sampling that involves counting the number of students in a classroom engaged in a target behavior at the designated time in the interval is known as Planned Activity Check ( PLACHECK)

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help please ive tried with my friends and no luck

Answers

Answer:

[tex]a=5 \sqrt{7}[/tex]

Step-by-step explanation:

Pythagoras Theorem explains the relationship between the three sides of a right triangle.  The square of the hypotenuse (longest side) is equal to the sum of the squares of the legs of a right triangle:

    [tex]a^2+b^2=c^2[/tex]

where:

a and b are the legs of the right trianglec is the hypotenuse (longest side) of the right triangle

Given:

b = 9c = 16

Substitute the given values into the formula and solve for a:

[tex]\begin{aligned}a^2+b^2 & = c^2 \\\implies a^2+9^2 & =16^2\\a^2+81 & =256\\a^2+81-81 & =256-81\\a^2 & =175\\\sqrt{a^2} & =\sqrt{175}\\a & =\sqrt{25 \cdot 7}\\& = \sqrt{25}\sqrt{7}\\& =5\sqrt{7}\end{aligned}[/tex]

Therefore, the measure of the third side of the given right triangle is [tex]5 \sqrt{7}[/tex]

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The equation a^-4= is equal to what?

Answers

1/a^4 is it’s equivalent

Answer:

a⁻⁴ = 1/a⁴

Step-by-step explanation:

1/a⁴

In a family the ages of children arranged from youngest to oldest are 2,6,y,14 and z if the square of ages is in an a.p what is the ratio of z and y

Answers

Answer:

y=10

z=18

Step-by-step explanation:

2,6,y,14,z

there are 4 years different between the childrens.

2-6-10-14-18

Which expression can be modeled using the number line

Answers

The answer choice which can be modelled using the number line given in the task content is; (1/10) × 7.

Which answer choice can be modelled by the number line?

It follows from the task content that the answer choice which can be modelled using the number line be identified.

Hence, since each successive threshold on the number line is 1/10 from the next. It follows that the number line best models the expression; (1/10) × 7.

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its math help me out

Answers

Answer:

each one is double the one before it so in year 5...

3912*2=7824

Hope This Helps!!!

Answer:

7824

Step-by-step explanation:

Which expression is equivalent to
(3²)

Answers

Answer:

3 + 6 = 92 + 1 + 4 + 2 = 918 : 2 = 93 + 3 + 3 = 9

Step-by-step explanation:

Which expression is equivalent to

(3²)

3² = 9

3 + 6 = 92 + 1 + 4 + 2 = 918 : 2 = 93 + 3 + 3 = 9

Insert two pairs of brackets to make this statement true:
-3+-2x5divided by-4+-1=5

Answers

Answer:

-3 + -2x5 / -4 + -1 = 5

(-3 + -2)* 5/ (-4-1) = 5.

Emily invests £150,000 in a savings account offering a compound interest rate of 2.4% per annum for 4 years. Work out the amount of interest Emily earns over 4 years. Emily invests £ 150,000 in a savings account offering a compound interest rate of 2.4 % per annum for 4 years . Work out the amount of interest Emily earns over 4 years .​

Answers

14926.74417

Step-by-step explanation:

Based on the given conditions, formulate:

150000 ((2.4% +1)4-1)

Evaluate the equation/expression: 14926 14926.74417 get the result:14926.74417 Answer: 14926.74417

if it is helpfulthe mark me brainliest pls


solve the following equation in terms of x.

20x - 3y = z

Answers

Answer:

(3y+z)/20

Step-by-step explanation:

Begin by moving 3y to the right side of your equation:

20x=3y+z

Then divide both sides by 20 isolating x on one side of your equation:

x=(3y+z)/20

The required solution of the following equation 20x - 3y = z is

x=(3y+z)/20

What is equation?

An equation is a mathematical statement that is made up of two expressions connected by an equal sign. Equation, statement of equality between two expressions consisting of variables and/or numbers.

Given:

The following equation is

20x - 3y = z

According to given question we have

The equation is

20x - 3y = z

By simplifying we have to solve in terms of x

By move 3y to the right side of your equation:

20x=3y+z

Then divide both sides by 20 isolating x on one side of your equation:

x=(3y+z)/20

Therefore, the required solution of the following equation 20x - 3y = z is

x=(3y+z)/20

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If ABCD is dilated by a factor of, the
coordinate of A' would be:
C
3
2
1
B
-4 -3 -2 -10
3 4 5 6 7
8 9 10 11
-1
-2
3
A
D
A' = ([?], [ ])
T
ת
2

Answers

Answer:

(-1, -1)

Step-by-step explanation:

Assuming the dilation is centered at the origin, we can multiply each of the coordinates by the scale factor.

This gives A'(-1, -1)

Find mZE to the nearest degree.
37
53
10
24


Answers

Answer:

10

Step-by-step explanation:

If teens have about 80h a month of leisure time, how much time would they spend each activity a month?​

Answers

Answer:

depends on how many actives there are and maybe on if they preferred one over another it would get more time

Step-by-step explanation:

What is the GCF of the numbers in the expression (32 + 16)?

Answers

Answer:

the GCF of the number in the given expression (32+16) is 16.

Step-by-step explanation:

This is your answer

Help ASAP, with a explanation :)

Answers

C is due north I think not sure

f(x)=23x−1 and g(x)=−4x+6.

What transformation occurs from function f to function g?


a horizontal stretch by a factor of −6

a horizontal translation 6 units left

a vertical translation 6 units down

a horizontal compression by a factor of −6

Answers

The transformation occurs from function g is a vertical translation 6 units down.

What is Transformation?

A function f, usually with some geometrical underpinning, that maps a set X to itself, i.e. f : X → X.

Given:

g(x) = 4x + 6

g(x) = 0

4x + 6=0

x= -6/4

Now,

f(-6/4) = 2 - 1

=-1

By seeing g(x), we can say that  function g is a vertical translation 6 units down.

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