If cos ⁡θ=−8/17, and 180°< θ< 270°, what is tan ⁡θ?

tanΘ =

Step-by-step explanation:

Using the trigonometric identities

tan x =

sin²x + cos²x = 1 ⇒ sin x = ±

Since 180° < Θ < 270° then sinΘ < 0 and tanΘ > 0

sinΘ = - = - = - = -

Hence

tanΘ = = -  × - =

15/8.

Step-by-step explanation:

This angle is in  the third quadrant in which the  cosine is negative and the tangent is positive.

The opposite side in the triangle formed = √(17)^2 - (-8)^2)

= √(225)

= 15

So tan⁡ θ = 15/8

= 15/8.

answer: a

step-by-step explanation: