Prove that (sin θ) (cos θ) = tan θ/( 1 + tan 2 θ )
This is a question from class 10 maths ICSE book (Understanding ICSE mathematics). This chapter is Trigonometric Identities from ML Aggarwal(SELINA Publishers).
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RHS = tan θ/ sec 2 θ
= (sin θ/ cos θ )/ sec 2 θ
=(sin θ X cos 2θ)/ cos θ
sin θ X cos θ