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;
[tex]\cot \theta=\frac{1}{\tan \theta}[/tex]Substitute the value value of tanθ into the above and simplify.
[tex]\cot \theta=\frac{1}{\frac{-8}{15}}[/tex][tex]=-\frac{15}{8}[/tex]Hence, the value of cotθ = -15/8.
