Evaluate: ^-1(1) + ^-1(-1/2) + ^-1(-1/2) - Mathematics MCQ Mathematics Mock Test - 3 2026 | ExamTest.live

mediumMCQMathematics Mock Test - 32026Mathematics

1 mark

Evaluate: tan^{- 1} (1) + cos^{- 1} (- 1/2) + sin^{- 1} (- 1/2)

Solution & Step-by-step Explanation

Using the identity sin^{- 1} x + cos^{- 1} x = \frac{π}{2} for x \in [- 1, 1] : cos^{- 1} (- 1/2) + sin^{- 1} (- 1/2) = \frac{π}{2} Also, tan^{- 1} (1) = \frac{π}{4} Total Sum = \frac{π}{4} + \frac{π}{2} = \frac{3 π}{4}

Try it yourself before checking the explanation above.

Evaluate: tan^{- 1} (1) + cos^{- 1} (- 1/2) + sin^{- 1} (- 1/2)

\frac{3 π}{4}

\frac{π}{2}

\frac{3 π}{2}

None of these

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