Find the value of sin theta, if tan theta = 4; 180 < theta <270.
a. -4 (square root)17/ 17
b. -4
c. -1/4
d. (square root)7/ 4
Please select the best answer from the choices provided
Ο Α
O B
О С
O D
Answers
Answer: You can use the identity THE PICTURE THAT I PUT THERE
The sign is negative because the angle is in the 3rd quadrant. This corresponds to ... a. -(4√17)/17
value of sin ( theta ) = -4 (square root of ) 17 / 17
What are Trigonometry Functions ?
Real functions which relate to an angle of a right angled triangle to ratios of two side length.
Given
tan (theta) = 4`
sin(theta) = tan (theta ) / (1 + tan ^ theta)^(1/2)
sin(theta) = 4/(1+(4)^2)^(1/2)
= 4/ (17)^ (1/2)
multiplying and dividing by 17 ^ (1/2), we get
= -4 (17) ^ (1/2) / 17 ( negative since angle is in third quadrant and tan is negative in that quadrant )
option a) -4 (square root of ) 17 / 17
Learn more about Trigonometry Functions:
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Similar to changes in elevation, temperature changes are often expressed as sums and differences of positive and negative rational numbers.
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Answer:
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