GATE 2020 BM – Question 19
Which functions are odd? P=sin t, Q=cos t, R=sin t+cos t, S=sin t cos t.
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Correct answer: (C) P and S
Explanation
Sine is odd and cosine even. Their product sin t cos t is odd because the sine factor changes sign while cosine does not. The sum of a nonzero odd and even function is neither odd nor even. Thus P and S, C.