Solve the equation for exact solutions.
-$\arctan x = \operatorname { arccot } \frac { 8 } { 11 }$
A) $\left\{ \frac { 8 } { 11 } \right\}$
B) $\varnothing$
C) $\{ 0 \}$
D) $\left\{ \frac { 11 } { 8 } \right\}$

Question

Quizplus · Accepted Answer

The equation $\arctan x = \operatorname{arccot} \frac{8}{11}$ implies that $x = \cot^{-1} \frac{8}{11}$. Since $\cot^{-1} y = \tan^{-1} \frac{1}{y}$, we have $x = \tan^{-1} \frac{11}{8}$, which corresponds to choice D.

Solve the Equation for Exact Solutions arctan⁡x=arccot⁡811\arctan x = \operatorname { arccot } \frac { 8 } { 11 }arctanx=arccot118​

Solve the Equation for Exact Solutions $\arctan x = \operatorname { arccot } \frac { 8 } { 11 }$