Maharashtra State Board course SSC (English Medium) Class 10th Board Exam
Share
Notifications

View all notifications

Prove the Following. Tan4θ + Tan2θ = Sec4θ - Sec2θ - Geometry

Login
Create free account


      Forgot password?

Question

Prove the following.

tan4θ + tan2θ = sec4θ - sec2θ

Solution

Taking LHS

tan4θ + tan2θ

= tan2θ( tan2θ + 1)

= (sec2θ - 1)(sec2θ) [1 + tan2θ = sec2θ]

= sec4θ - sec2θ

= RHS

  Is there an error in this question or solution?
Solution Prove the Following. Tan4θ + Tan2θ = Sec4θ - Sec2θ Concept: Trigonometric Ratios of Complementary Angles.
S
View in app×