Question

simplify cos^theta-1/sin^theta​

Answer 1

Answer:

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Step-by-step explanation:

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Answer 2

Answer:

$\frac{ \cos( \alpha ) - 1}{ \sin( \alpha ) } \\ \\ on \: \: rationalising \\ \\ \frac{(cos \: \alpha - 1)(cos \: \alpha + 1)}{sin \: \alpha (cos \: \alpha + 1)} \\ \\ = \frac{ {cos}^{2} \alpha - 1 }{sin \: \alpha (cos \: \alpha + 1)} \\ \\ = \frac{ - (1 - {cos}^{2} \alpha )}{sin \: \alpha (co s \: \alpha + 1)} \\ \\ = \frac{ {sin}^{2} \alpha }{sin \: \alpha (cos \: \alpha + 1)} \\ \\ = cot \: \alpha - cosec \: \alpha$