Answer :

Consider LHS,

LHS = +

We know that tan (90° - θ) = cotθ.

⇒ + = +

=

We know that (a + b)^{2} = a^{2} + 2ab + b^{2}.

⇒ + =

We know that cot^{2}θ + 1 = cosec^{2}θ.

⇒ + =

=

=

=

We know that = cosecθ and = cotθ.

⇒ + =

=

We know that = secθ.

⇒ + = 2secθ = RHS

Hence proved.

Rate this question :

How useful is this solution?

We strive to provide quality solutions. Please rate us to serve you better.

Try our Mini CourseMaster Important Topics in 7 DaysLearn from IITians, NITians, Doctors & Academic Expertsview all courses

Dedicated counsellor for each student

24X7 Doubt Resolution

Daily Report Card

Detailed Performance Evaluation

RELATED QUESTIONS :

Prove the followiTamil Nadu Board - Math

If sinθ, cosθ andTamil Nadu Board - Math

Prove the followiTamil Nadu Board - Math

Prove the followiTamil Nadu Board - Math

If x = a secθ + bTamil Nadu Board - Math

Prove the followiTamil Nadu Board - Math

Prove the followiTamil Nadu Board - Math

Prove the followiTamil Nadu Board - Math

Prove the followiTamil Nadu Board - Math

Prove the followiTamil Nadu Board - Math