The value of tan^2θ + tan^4θ A) sec^4θ – sec^2θ B) sec^2θ – sec^4θ C) sin^2θ – cos^2θ D) sec^2θ – tan^2θ

The value of tan²θ + tan⁴θ

A) sec⁴θ – sec²θ

B) sec²θ – sec⁴θ

C) sin²θ – cos²θ

D) sec²θ – tan²θ

Monjur Alahi

4 views

2025-01-04 04:42

2 Answers

Salim Ahmed Kawsar

Correct option is: A)\(sec^4\theta - sec^2\theta\)

\(tan^2 \theta + tan^4 \theta\) = \(tan^2\theta (1+ tan^2\theta) \)

= \(tan^2\theta.sec^2\theta \) (\(\because\) 1 + \(tan^2\theta= sec^2 \theta\))

= \((sec^2\theta-1) sec ^2\theta \) (\(\because\) \(tan^2\theta= sec^2 \theta\)-1)

= \(sec^4\theta - sec^2\theta\)

4 views Answered 2023-02-05 15:29

Salim Ahmed Kawsar

Correct option is: A) sec⁴θ – sec²θ

4 views Answered 2023-02-05 15:29

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