Simplify $\frac{\sin 2 heta}{1 + \cos 2 heta}$.

Question

Simplify $\frac{\sin 2	heta}{1 + \cos 2	heta}$.

Accepted Answer

$	an	heta$. Using double angle identities: sin 2θ = 2 sin θ cos θ and 1 + cos 2θ = 2cos²θ. The expression becomes 2 sin θ cos θ / 2cos²θ = sin θ / cos θ = tan θ. Option A is the reciprocal of the correct answer.

Answer

A) $\cot	heta$

Answer

B) $	an	heta$

Answer

C) $2\sin	heta$

Answer

D) $2\cos	heta$

Simplify $\frac{\sin 2\theta}{1 + \cos 2\theta}$.

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