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Mathematics - Inverse Trigonometric Functions Question with Solution | TestHub

MathematicsInverse Trigonometric FunctionsSum And Difference Of AnglesMedium2 minQB

MathematicsMediumsingle choice

If $sin^{- 1} a + sin^{- 1} b + sin^{- 1} c = π$ , evaluate a√(1-a²)+b√(1-b²)+c√(1-c²).

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Answer:

Solution:

Let A= $sin^{- 1} a$ , B= $sin^{- 1} b$ , C= $sin^{- 1} c$ , so A+B+C=π and cos A, cos B, cos C≥0. The expression is (sin2A+sin2B+sin2C)/2=2sin A sin B sin C=2abc.

Stream:JEESubject:MathematicsTopic:Inverse Trigonometric FunctionsSubtopic:Sum And Difference Of Angles

⏱ 2mℹ️ Source: QB

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