Gamma Question Bank for Engineering Mathematics>Chapter 22 - Inverse Trigonometric Functions>Assignment>Q 4

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The value(s) of $x$ satisfying the equation $\sin^{- 1} |\sin x| = \sqrt{\sin^{- 1} |\sin x|}$ is/are given by $(n \in I)$

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Important Questions on Inverse Trigonometric Functions

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Gamma Question Bank for Engineering Mathematics>Chapter 22 - Inverse Trigonometric Functions>Assignment>Q 5

If

\cos^{- 1} x = \tan^{- 1} x

, then

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Gamma Question Bank for Engineering Mathematics>Chapter 22 - Inverse Trigonometric Functions>Assignment>Q 6

Which of the following is/are true?

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Gamma Question Bank for Engineering Mathematics>Chapter 22 - Inverse Trigonometric Functions>Assignment>Q 7

If

θ = \tan^{- 1} (2 \tan^{2} θ) - \tan^{- 1} (\frac{1}{3} \tan θ)

, then

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Gamma Question Bank for Engineering Mathematics>Chapter 22 - Inverse Trigonometric Functions>Assignment>Q 8

The number of integral values of

x

satisfying

\tan^{- 1} (x + 1) + \tan^{- 1} (x - 1) = \tan^{- 1} (\frac{2 x}{2 - x^{2}})

will be

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Gamma Question Bank for Engineering Mathematics>Chapter 22 - Inverse Trigonometric Functions>Assignment>Q 9

A value of

x

satisfying

\tan (\sec^{- 1} x) = \sin (\cos^{- 1} \frac{1}{\sqrt{5}})

is

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Gamma Question Bank for Engineering Mathematics>Chapter 22 - Inverse Trigonometric Functions>Assignment>Q 10

If

x, y, z \in (- 1, 1)

satisfy

\cos^{- 1} x + \cos^{- 1} y + \cos^{- 1} z = π

, then

x, y, z

satisfy

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Gamma Question Bank for Engineering Mathematics>Chapter 22 - Inverse Trigonometric Functions>Assignment>Q 11

If

x^{3} - x^{2} + \tan^{2} α x - \tan^{2} α = 0

, has positive roots

x_{1}, x_{2}, x_{3}

then which of following are true?

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Gamma Question Bank for Engineering Mathematics>Chapter 22 - Inverse Trigonometric Functions>Assignment>Q 12

Solution(s) of the equation

\sin (- \frac{π}{3} + \tan^{- 1} x + \cot^{- 1} x) = \frac{1}{2}

is/are