Use the function value and constraint below to evaluate the

Use the function value and constraint below to evaluate the given trigonometric function:

Function Value Constraint Evaluate

sec theta=17/15 sin theta less than 0 cot theta = ?

Solution

We have given,

sec theta=17/15

and constraint is sin theta <0

since sec theta is positive and sin theta is negative , hence theta must be in 4th quadrant and in 4th quadrant cot theta is negaive

hence cot theta = 15/ (sqrt(17^2 - 15^2) = 15/ sqrt64 = 15/8