Question

verify √ 1- cos theta /1+ cos theta = sin theta / 1+ cos theta, for theta = 60​

Answer 1

We have : 1 − Cos θ1 − Cos θ−−−−−−−√ = Sin θ1 + Cos θ , Verify it at θ = 60° , So

⇒1 − Cos 60°1 + Cos 60°−−−−−−−−√ = Sin 60°1 + Cos 60°⇒1 −121 + 12−−−−⎷ = 3√21 +12 ⎛⎝⎜ We know Cos 60° = 12 and Sin 60° = 3√2 ⎞⎠⎟⇒2 − 122 + 12−−−−⎷ = 3√22 + 12⇒1232−−⎷ = 3√232⇒12×23−−−−−√ = 3√2×23⇒13−−√ = 3√3⇒13√= 3√3 ⇒13√× 3√3√= 3√3 ⇒3√3 = 3√3 ⎛⎝⎜ Verified ⎞⎠⎟