Question

What is the value of theta if tan theta =cot(30+theta) when theta is acuit angle

Answer 1

Answer:30°

Step-by-step explanation:

TanΦ=cot(30+Φ)......(1)

We know that :

TanΦ=cot (90-Φ).......(2)

Putting value of tan Φ from eqń (2) in eqñ (1)

We get :

Cot (90-Φ)=cot (30+Φ)

On simple comparing we get :

90-Φ=30+Φ

««2Φ=120

Φ=60