Question

Find the value of (1+tan 2 θ)(1+sinθ)(1−sinθ)+ (1+cot 2θ)(1−cosθ)(1+cosθ)

Answer 1

${cos}^{2} \alpha + cos \alpha sin2 \alpha + {sin}^{2} \alpha + sin \alpha cos2 \alpha \\ = 1 + 2sinacos2 \alpha$

1+2sinacos2a