Question

root 3 sin theta =cos thetafind value of sintheta tantheta (1+cottheta)÷sin theta +cos theta please tell the answer ​

Answer 1

Answer:

√3

Step-by-step explanation:

√3sinϑ = cosϑ

cosϑ/sinϑ = √3

tanϑ = √3

ϑ = 60°

sinϑ.tanϑ.(1+cotϑ) / sinϑ+cosϑ = sin60.tan60.(1+cot60) / sin60+cos60

= (√3/2) × √3 × (1 + 1/√3) ÷ √3/2 + 1/2

= 3/2 × (√3+1)/√3 ÷ (√3+1)/2

= [3(√3+1)] / 2√3 × 2/(√3+1)

= 3/√3

= 3/√3 × √3/√3

= 3√3/3

= √3

Hope it helps you:)