Q. 234.6( 5 Votes )

# Prove the following identities:cot2 x – tan2 x = 4 cot 2x cosec 2x

To prove: cot2 x – tan2 x = 4 cot 2x cosec 2x

Proof:

Take LHS:

cot2 x – tan2 x

Identities used:

a2 – b2 = (a – b)(a + b)

Therefore,

= (cot x – tan x)(cot x + tan x)

{ cot2 x + 1 = cosec2 x}

{ sin 2x = 2 sin x cos x}

= 4 cot 2x cosec 2x

= RHS

Hence Proved

Rate this question :

How useful is this solution?
We strive to provide quality solutions. Please rate us to serve you better.
Related Videos
Trigonometric Functions - 0152 mins
Conditional Identities31 mins
Trigonometric Functions - 0568 mins
Trigonometric Functions - 0658 mins
Trigonometric Functions - 0366 mins
Trigonometric Series45 mins
Interactive Quiz on trigonometric ratios & identities73 mins
Trigonometric Functions - 0865 mins
Trigonometric Functions - 0760 mins
Master Solving Problems of trigonometry45 mins
Try our Mini CourseMaster Important Topics in 7 DaysLearn from IITians, NITians, Doctors & Academic Experts
Dedicated counsellor for each student
24X7 Doubt Resolution
Daily Report Card
Detailed Performance Evaluation
view all courses