Prove the following :

sin θ cot θ = cos θ

To prove,

sin θ cot θ = cos θ

We know that,

cot θ = $\dfrac{\text{cos θ}}{\text{sin θ}}$

Substituting value in L.H.S. of sin θ cot θ = cos θ we get,

$\text{sin θ} \times \dfrac{\text{cos θ}}{\text{sin θ}} = \text{cos θ} \\[1em] \Rightarrow \text{cos θ} = \text{cos θ}$

Since, L.H.S. = R.H.S.

Hence. proved that sin θ cot θ = cos θ.