PYQ - Prove the following IV — task. Maths TNSB Mentoring, Class 10 Crash course.

Check that

\frac{\sin x}{1 + \cos x} + \frac{\sin x}{1 - \cos x}

\(=\)

2 cosec x

Proof:

LHS \(=\)

\frac{\sin x}{1 + \cos x} + \frac{\sin x}{1 - \cos x}

\(=\)

\(=\) RHS

Hence, we proved.

Answer variants:

\frac{\sin x (1 - \cos x) + \sin x (1 + \cos x)}{(1 + \cos x) (1 - \cos x)}

\frac{2 \sin x}{\sin^{2} x}

2 cosec x

\frac{2}{\sin x}

\frac{\sin x - \sin x \cos x + \sin x + \sin x \cos x}{1 - \cos^{2} x}

Did you find an error?

9. PYQ - Prove the following IV