Exemplar - Prove the following — task. Maths CBSE Live product, Class 10.

If \(sin\) \(R\) \(+\) \(cos\) \(R\) \(= p\) and \(sec\) \(R\)\(+cosec\) \(R\)\(= q\), then prove that \(q(p^2 - 1) = 2p\).

Proof:

\(p^2\) \(=\)

\(q\) \(=\)

After simplifying we get

\(= q(p^2 - 1)\) \(=\) .

\(=\)

Hence proved

Answer variants:

1 + 2 \sin R \cos R

2 p

4 p

\frac{p}{\sin R \cos R}

\frac{p}{\sin R \cos R} (2 \sin R \cos R)

Did you find an error?

7. Exemplar - Prove the following