Question

If tan(theta) = -8/15 and 270 degrees < theta < 360 degrees, what is the value of cot(theta)?

Answer 1

The value of cotθ = -15/8

Step - by - Step Explanation

What to find? The value of cotθ.

Given Parameter:

• tanθ = -8/15

,

• 270<θ<360 (which implies the angle is in the fourth quadrant which makes it negative).

Cotθ can be written as;

`\cot \theta=(1)/(\tan \theta)`

Substitute the value value of tanθ into the above and simplify.

`\cot \theta=(1)/((-8)/(15))`

`=-(15)/(8)`

Hence, the value of cotθ = -15/8.