MCQ
$\frac{1-\cos 2 x+\sin x}{\sin 2 x+\cos x}=?$
- Acosec x
- Bsec x
- Ccot x
- Dtan x
✓
Answer
(d) tan x
Explanation: $\frac{1-\cos 2 x+\sin x}{\sin 2 x+\cos x}=\frac{2 \sin ^2 x+\sin x}{2 \sin x \cos x+\cos x}=\frac{\sin x(2 \sin x+1)}{\cos x(2 \sin x+1)}=\tan x$
Explanation: $\frac{1-\cos 2 x+\sin x}{\sin 2 x+\cos x}=\frac{2 \sin ^2 x+\sin x}{2 \sin x \cos x+\cos x}=\frac{\sin x(2 \sin x+1)}{\cos x(2 \sin x+1)}=\tan x$
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