Question

Simplify: sin (cosec 0 - sin )​

Answer 1

Answer:

$sinθ(cosecθ - sinθ)$

$= sinθ( \frac{1}{sinθ} - sinθ)$

$= ( \frac{1}{sinθ} )sin θ \: - \: sin {}^{2} θ$

$= 1 - sin {}^{2} θ$

$= cos {}^{2} θ \:$

As,

$sin {}^{2} θ + cos {}^{2} θ = 1$