sin theta / sec theta +1 + sin theta / sec theta - 1 = 2 cot theta - Maths - Some Applications of Trigonometry

Question

sin theta / sec theta +1 + sin theta / sec theta - 1 = 2 cot theta

Neha Sethi · Accepted Answer

Dear student
Consider, LHSsinθsecθ+1+sinθsecθ-1=sinθsecθ-1+sinθsecθ+1secθ+1secθ-1=sinθsecθ-sinθ+sinθsecθ+sinθsec2θ-1=2sinθsecθtan2θ=2sinθ×1cosθ×1tan2θ=2×1tanθ=2cotθ=RHSHence ProvedNote:tanA=sinAcosA1+tan2A=sec2A
Regards