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Study the Assertion and Reason and choose the correct option.
The equality , is true for all
Assertion: The equality $\tan(\cot^{-1} x) = \cot(\tan^{-1} x)$, is true for all $x \in R$
Reason: The identity $\tan^{-1} x + \cot^{-1} x = \frac{\pi}{2}$, is true for all $x \in R$ Which of the following is correct? (Application)
- (a)Both Assertion and Reason are true and Reason is the correct explanation for Assertion.
- (b)Both Assertion and Reason are true but Reason is not the correct explanation for Assertion.
- (c)Assertion is true and Reason is false.
- (d)Assertion is false and Reason is true.
Answer
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From ISC 2026 Specimen Mathematics Paper 1, question 1(x).