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Inverse Trigonometric Functions Prep

English 44 leveled MCQs Free

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1

Inverse Trigonometric Functions Prep

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5 marks Long answer

Solve for x: 2tan^{-1}(x)+sin^{-1}(2x/(1+x^2))=4√3.

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x = 3

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5 marks Long answer

If α=sin^{-1}(√2/2)+cos^{-1}(−1/2) and β=tan^{-1}(√3)−cot^{-1}(−1/√3) then find the value of α+β.

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α+β = π

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5 marks Long answer

Draw the graph of principal value branch of cos^{-1}(x).

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Graph of cos^{-1}(x) from [−1,1] to [0,π]

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5 marks Long answer

Draw the graph of cos^{-1}(x) where x∈[−1,0]. Also, write its range.

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Graph of cos^{-1}(x) from [−1,0] to [π/2,π]. Range: [π/2,π]

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