Answer :

Consider LHS,

LHS =

Multiplying numerator and denominator by (1 + cosθ),

⇒ = ×

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

⇒ =

We know that 1 – cos^{2}θ = sin^{2}θ.

⇒ =

= +

= +

We know that = cosecθ and = cotθ

∴ = cosecθ + cotθ = 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