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Which one of the following is true?

• (a)$\sin(\cos^{-1} x) = \cos(\sin^{-1} x)$
• (b)$\sec(\tan^{-1} x) = \tan(\sec^{-1} x)$
• (c)$\cos(\tan^{-1} x) = \tan(\cot^{-1} x)$
• (d)$\tan(\sin^{-1} x) = \sin(\tan^{-1} x)$

Answer

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From ISC 2025 Practice Mathematics, question 3.