Which of the following statements is true?

MATHEMATICS · Single correct · A Level · Mathematics · Trigonometry · Trigonometry

Problem

Which of the following statements is true? (a) The domain of sin⁡θ\sin\theta is the interval [−1,1][-1,1]. (b) The function sec⁡θ\sec\theta is undefined at θ=(2n+1)π2\theta=(2n+1)\frac{\pi}{2} for all integers nn. (c) The function tan⁡θ\tan\theta is undefined at θ=nπ\theta=n\pi for all integers nn. (d) The function cot⁡θ\cot\theta is undefined at θ=(2n+1)π2\theta=(2n+1)\frac{\pi}{2} for all integers nn.

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