PDF chapter test TRY NOW
1. If \(sin \ \theta + cos \ \theta = p\) and \(sec \ \theta + cosec \ \theta = q\), then prove that \(q(p^2 - 1) = 2p\).
2. If \(a \ sin \ \theta + b \ cos \ \theta = c\), then prove that \(a \ cos \ \theta - b \ sin \ \theta = \sqrt{a^2 + b^2 - c^2}\).
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This is a creative exercise. Your teacher will check it manually.
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