Question

if sin theta +cos theta =root 3 cos (90- theta) .find cot theta​

Answer 1

Answer:

$cot\theta=\sqrt{3}-1$

Step-by-step explanation:

           $sin\theta+cos\theta=\sqrt{3}.cos(90-\theta)\\\\ sin\theta+cos\theta=\sqrt{3}.sin\theta$

Since, cos(90-x)=sinx

So       $\frac{sin\theta+cos\theta}{sin\theta}=\sqrt{3}\\\\ 1+cot\theta=\sqrt{3}$

Since $\frac{cosx}{sinx}=cotx$

So $cot\theta=\sqrt{3}-1$

Hope helps you