Prove the following :

cos θ tan θ = sin θ

To prove,

cos θ tan θ = sin θ

We know that,

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

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

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

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

Hence proved that cos θ tan θ = sin θ.