\sec^4\theta – \sec^2\theta is equal to

Correct Answer is : tan2θ+tan4θ

RRB Junior Engineer Stage 1 Model Papers 2

Question : 23 of 99

Marks: +1, -0

\sec^4θ – \sec^2θ

is equal to

Solution:

\sec^4θ – \sec^2θ = \sec^2θ (\sec^2θ – 1)= (1+\tan^2θ) (1 +\tan^2θ –1) = \tan^2θ + \tan^4θ

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