Complete the identity.
-$$\frac { 2 \cot x } { 1 + \cot ^ { 2 } x } = ?$$
A) $\sin 2 x$
B) $\cos 2 x$
C) $\cot 2 x$
D) $\tan 2 x$

Name: Complete the identity. -\[\frac { 2 \cot x } { 1 + \cot ^ { 2 } x } = ?\] A) $\sin 2 x$ B) $\cos 2 x$ C) $\cot 2 x$ D) $\tan 2 x$
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Question

Quizplus · Accepted Answer

The identity $\frac { 2 \cot x } { 1 + \cot ^ { 2 } x }$ simplifies to $\sin 2x$ using the double angle identity for sine: $\sin 2x = \frac{2 \tan x}{1 + \tan^2 x}$, and since $\cot x = \frac{1}{\tan x}$, it matches the form.

Complete the Identity 2cot⁡x1+cot⁡2x=?\frac { 2 \cot x } { 1 + \cot ^ { 2 } x } = ?1+cot2x2cotx​=?

Complete the Identity $\frac { 2 \cot x } { 1 + \cot ^ { 2 } x } = ?$