Consider the following 1. \sin ^{4} \theta-\sin ^{2} \theta=\cos ^{4} \theta-\cos ^{2} \theta 2. \sin ^{4} \theta+\cos ^{4} \theta=1+2 \sin ^{2} \theta \cos ^{2} \theta 3. \tan ^{4} \theta+\tan ^{2} \theta=\sec ^{4} \theta-\sec ^{2} \theta Which of the above are identities?

Correct Answer is : 1 and 3 only

UPSC CDS 2 2021 Math Paper

Question : 38 of 100

Marks: +1, -0

Consider the following
1. sin4θ−sin2θ=cos4θ−cos2θ
2. sin4θ+cos4θ=1+2sin2θcos2θ
3. tan4θ+tan2θ=sec4θ−sec2θ
Which of the above are identities?

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