Comprehensive Guide to VITEEE Mathematics. Other applicable Exams - JEE Main, BITSAT, SRM JEE, MHT-CET, K-CET, EAMCET, AMU & Other State Engg. Entrance Exams>Chapter 6 - Inverse Trigonometric Functions>Exercise 2>Q 2

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Find the value of $x$ for $\tan^{- 1} (\frac{x + 1}{x - 1}) + \tan^{- 1} (\frac{x - 1}{x}) = \tan^{- 1} (- 7)$ .

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Important Questions on Inverse Trigonometric Functions

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Comprehensive Guide to VITEEE Mathematics. Other applicable Exams - JEE Main, BITSAT, SRM JEE, MHT-CET, K-CET, EAMCET, AMU & Other State Engg. Entrance Exams>Chapter 6 - Inverse Trigonometric Functions>Exercise 2>Q 3

\sin^{- 1} (\frac{4 x}{x^{2} + 4}) + 2 \tan^{- 1} (- \frac{x}{2})

is independent of

x

, then

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Comprehensive Guide to VITEEE Mathematics. Other applicable Exams - JEE Main, BITSAT, SRM JEE, MHT-CET, K-CET, EAMCET, AMU & Other State Engg. Entrance Exams>Chapter 6 - Inverse Trigonometric Functions>Exercise 2>Q 4

If

\sin^{- 1} \frac{x}{a} + \sin^{- 1} \frac{y}{b} = α

, then

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Comprehensive Guide to VITEEE Mathematics. Other applicable Exams - JEE Main, BITSAT, SRM JEE, MHT-CET, K-CET, EAMCET, AMU & Other State Engg. Entrance Exams>Chapter 6 - Inverse Trigonometric Functions>Exercise 2>Q 5

If

\cos^{- 1} x - \cos^{- 1} \frac{y}{2} = α

, then

4 x^{2} - 4 x y \cos α + y^{2}

is equal to

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IMPORTANT

Comprehensive Guide to VITEEE Mathematics. Other applicable Exams - JEE Main, BITSAT, SRM JEE, MHT-CET, K-CET, EAMCET, AMU & Other State Engg. Entrance Exams>Chapter 6 - Inverse Trigonometric Functions>Exercise 2>Q 6

The inequality

\sin^{- 1} x > \cos^{- 1} x

holds

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Comprehensive Guide to VITEEE Mathematics. Other applicable Exams - JEE Main, BITSAT, SRM JEE, MHT-CET, K-CET, EAMCET, AMU & Other State Engg. Entrance Exams>Chapter 6 - Inverse Trigonometric Functions>Exercise 2>Q 7

The number of solutions of

\sin^{- 1} x + \sin^{- 1} 2 x = \frac{π}{3}

is

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Comprehensive Guide to VITEEE Mathematics. Other applicable Exams - JEE Main, BITSAT, SRM JEE, MHT-CET, K-CET, EAMCET, AMU & Other State Engg. Entrance Exams>Chapter 6 - Inverse Trigonometric Functions>Exercise 2>Q 8

Find the value of

\cos^{- 1} x + \cos^{- 1} (\frac{x}{2} + \frac{\sqrt{3 - 3 x^{2}}}{2})

where

(\frac{1}{2} \leq x \leq 1)

.

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Comprehensive Guide to VITEEE Mathematics. Other applicable Exams - JEE Main, BITSAT, SRM JEE, MHT-CET, K-CET, EAMCET, AMU & Other State Engg. Entrance Exams>Chapter 6 - Inverse Trigonometric Functions>Exercise 2>Q 9

If

{(\tan^{- 1} x)}^{2} + {(\cot^{- 1} x)}^{2} = \frac{29 π^{2}}{36}

, then

x

equals

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Comprehensive Guide to VITEEE Mathematics. Other applicable Exams - JEE Main, BITSAT, SRM JEE, MHT-CET, K-CET, EAMCET, AMU & Other State Engg. Entrance Exams>Chapter 6 - Inverse Trigonometric Functions>Exercise 2>Q 10

The value of

2 \tan^{- 1} (cosec \tan^{- 1} x - {tancot}^{- 1} x), x > 0

is