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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

Find the value of sin theta if tan theta 4 180 lt theta lt270 a 4 square root17 17 b 4 c 14 d square root7 4 Please select the best answer from the choices prov class=

Respuesta :

24kbhaddie

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

Ver imagen 24kbhaddie

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:

https://brainly.com/question/15278775?referrer=searchResults

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