Question
If (sinθ+cosθ)/(sinθ-cosθ) = 2,
then the value of sin4 θ isSolution
(sinθ+cosθ)/(sinθ-cosθ) = 2 By applying Componendo and Dividendo (sinθ+cosθ+sinθ-cosθ)/(sinθ+cosθ-sinθ+cosθ) = (2+1)/(2-1) 2sinθ/2cosθ = 3/1 tanθ = 3/1 tanθ = Perpendicular/Base = 3/1 
sin4 θ = (3/√10)⁴ = 81/100
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