Question

How do you verify the identify sinθsecθcotθ=1?

Answer 1

LHS=

$\sin\theta \times \sec \theta \times \cot \theta \\ \\ = \sin \theta \times \frac{1}{ \cos \theta} \times \frac{ \cos \theta }{ \sin \theta } \\ \\ = 1$

= RHS ( Proved )

TRIGONOMETRY IDENTITIES :-

$\cosec \theta = \frac{1}{\sin \theta} \\ \\ \sec \theta = \frac{1}{ \cos \theta } \\ \\ \tan \theta = \frac{ \sin \theta }{ \cos \theta} \\ \\ \cot \theta = \frac{1}{ \tan \theta } = \frac{ \cos \theta }{ \sin \theta}$