Prove that following identities:(i) sinθ−cosθsinθ+cosθ+sinθ+cosθsinθ−cosθ=22sin2θ−1(ii)sinθ+cosθsinθ−cosθ+sinθ−cosθsinθ+cosθ=21−2cos2θ
The expression E=1+cosθ+sinθ1+cosθ−sinθ can be simplified to