10. Explain the given trigonometric equation by matching correct options

Answer variants:

\frac{(3 \times \frac{1}{\sin A} - 1)}{(3 \times \frac{1}{\sin A} + 1)}

\frac{(3 \times \frac{1}{\cos A} - 1)}{(3 \times \frac{1}{\cos A} + 1)}

\frac{3 (\frac{\sin A}{\cos A}) - \cos A}{3 (\frac{\sin A}{\cos A}) + \cos A}

\frac{3 (\frac{\cos A}{\sin A}) - \cos A}{3 (\frac{\cos A}{\sin A}) + \cos A}

\frac{(\frac{3}{\sin A} - 1)}{(\frac{3}{\sin A} + 1)}

\frac{\cos A (\frac{3}{\sin A} - 1)}{\cos A (\frac{3}{\sin A} + 1)}

Prove that

\frac{3 \cot A - \cos A}{3 \cot A + \cos A}

\(=\)

\frac{3 cosec A - 1}{3 cosec A + 1}

Proof:

LHS \(=\)

\frac{3 \cot A - \cos A}{3 \cot A + \cos A}

\(=\)

\frac{3 cosec A - 1}{3 cosec A + 1}

\(=\) RHS

Did you find an error?