Question

If √3 sin theta=cos theta than find the value of sin theta tan theta(1+cot theta)/sin theta+cos theta

Answer 1

Answer:

2√3

Step-by-step explanation:

√3sinФ=cosФ

sinФ/cosФ=√3

tanФ=√3

Ф=60

they have asked to find sinФtanФ(1+cotФ)/sinФ+cosФ

substitue Ф value

sin60*tan60(1+cot 60)/sin60+cos60

√3/2 *√3 (1+1/√3) / √3/2+1/2

3/2(√3+1/√3) /(√3+1)/2

√3(√3+1) /(√3+1)/2

2√3