Solve the following. ((Sin27ᵒ) / (Cos63ᵒ)) - ((Cos27ᵒ) / ((Sin63ᵒ))²

Solve the following. ((Sin27ᵒ) / (Cos63ᵒ)) - ((Cos27ᵒ) /…

Solve the following.

((Sin27^o) / (Cos63^o)) - ((Cos27^o) / ((Sin63^o))²

Show answer & explanation

Correct answer: A

Explanation

The correct answer is option 1 i.e 0

⇒ ((Sin27^o) / (Cos63^o)) - ((Cos27^o) / (Sin63^o))²

As we know that, sin(90^o - x) = cosx & cos(90^o - x) = sinx

⇒ ((cos(90^o - 27^o)) / (Cos63^o)) - ((sin(90^o - 27^o)) / (Sin63^o))²

⇒ ((cos63^o) / (Cos63^o)) - ((Sin63^o) / (Sin63^o))²

⇒ (1 - 1)² = 0