Complete the identity.
-$\cot ^ { 2 } 2 x + \cos ^ { 2 } 2 x + \sin ^ { 2 } 2 x =$ ?
A) $\csc ^ { 2 } 2 x$
B) $\sin ^ { 2 } 2 x$
C) $\cos ^ { 2 } 2 x$
D) 2

Question

Quizplus · Accepted Answer

The identity can be simplified using the Pythagorean identity $\sin^2 \theta + \cos^2 \theta = 1$ and the definition of cotangent, $\cot^2 \theta = \frac{1}{\sin^2 \theta}$, leading to $\cot^2 2x + 1 = \csc^2 2x$.

Complete the Identity cot⁡22x+cos⁡22x+sin⁡22x=\cot ^ { 2 } 2 x + \cos ^ { 2 } 2 x + \sin ^ { 2 } 2 x =cot22x+cos22x+sin22x=

Complete the Identity $\cot ^ { 2 } 2 x + \cos ^ { 2 } 2 x + \sin ^ { 2 } 2 x =$