TS EAMCET · Maths · Inverse Trigonometric Functions
Consider the following
Assertion (A): \(\int \sqrt{x-3}\left(\operatorname{Sin}^{-1}(\log x)+\operatorname{Cos}^{-1}(\log x)\right) d x=\frac{\pi}{3}(x-3)^{3 / 2}+\mathrm{c}\)
Reason (R): \(\operatorname{Sin}^{-1}(f(x))+\operatorname{Cos}^{-1}(f(x))=\frac{\pi}{2},|f(x)| < 1\)
The correct answer is
- A Both \((A)\) and \((R)\) are true, \((R)\) is the correct explanation of \((A)\)
- B Both \((A)\) and \((R)\) are true, \((R)\) is not the correct explanation of \((A)\)
- C (A) is true, but (R) is false
- D (A) is false, but (R) is true
Answer & Solution
Correct Answer
(D) (A) is false, but (R) is true
Step-by-step Solution
Detailed explanation
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