Solve for x in the given interval.
-$\cot x = - 1 , \frac { \pi } { 2 } \leq x \leq \pi$
A) $\frac { 7 \pi } { 4 }$
B) $\frac { 3 \pi } { 4 }$
C) $\frac { 5 \pi } { 6 }$
D) $\frac { 2 \pi } { 3 }$

Question

Quizplus · Accepted Answer

Cotangent is equal to -1 at an angle where the adjacent and opposite sides of a right triangle are equal in magnitude but opposite in sign. This occurs at $\frac{3\pi}{4}$ within the given interval.

Solve for X in the Given Interval cot⁡x=−1,π2≤x≤π\cot x = - 1 , \frac { \pi } { 2 } \leq x \leq \picotx=−1,2π​≤x≤π

Solve for X in the Given Interval $\cot x = - 1 , \frac { \pi } { 2 } \leq x \leq \pi$