Answer :

We are given that,

tan-1 (cot θ) = 2θ

We need to find the value of θ.

We have,

tan-1 (cot θ) = 2θ

Taking tangent on both sides,

tan [tan-1 (cot θ)] = tan 2θ

Using property of inverse trigonometry,

tan(tan-1 A) = A

cot θ = tan 2θ


tan 2θ = cot θ

Using the trigonometric identity,

Using the trigonometric identity,

By cross-multiplying,

tan θ × 2 tan θ = 1 – tan2 θ

2 tan2 θ = 1 – tan2 θ

2 tan2 θ + tan2 θ = 1

3 tan2 θ = 1

And .


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 Experts
Dedicated counsellor for each student
24X7 Doubt Resolution
Daily Report Card
Detailed Performance Evaluation
view all courses

Prove the followiMathematics - Board Papers

Solve the followiMathematics - Board Papers