Show the given trigonometric equation — task. Maths TNSB Mentoring, Class 10.

Answer variants:

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

\frac{2 \sin A}{1 - \cos^{2} A}

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

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

\frac{2 \sin A}{\sin^{2} A}

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

\frac{2}{\sin A}

Show that

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

\(=\)

2 cosec A

Proof:

LHS \(=\)

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

\(=\)

2 cosec A

\(=\) RHS

Did you find an error?

4. Show the given trigonometric equation