Mathematics Crash Course (Based on Revised Syllabus-2023)>Chapter 2 - Inverse Trigonometric Functions>Exercise>Q 12

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If $α = {c o s}^{- 1} (\frac{3}{5})$ , $β = {t a n}^{- 1} (\frac{1}{3})$ , where $0 < α, β < \frac{π}{2},$ then $α - β$ is equal to

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Important Questions on Inverse Trigonometric Functions

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12th Uttar Pradesh Board

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Mathematics Crash Course (Based on Revised Syllabus-2023)>Chapter 2 - Inverse Trigonometric Functions>Exercise>Q 13

\cot^{- 1} 9 + {cosec}^{- 1} \frac{\sqrt{41}}{4} = ?

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12th Uttar Pradesh Board

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Mathematics Crash Course (Based on Revised Syllabus-2023)>Chapter 2 - Inverse Trigonometric Functions>Exercise>Q 14

Find the domain of

\tan^{- 1} (\sqrt{9 - x^{2}})

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12th Uttar Pradesh Board

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Mathematics Crash Course (Based on Revised Syllabus-2023)>Chapter 2 - Inverse Trigonometric Functions>Exercise>Q 15

Find the domain of the following functions:

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

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12th Uttar Pradesh Board

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Mathematics Crash Course (Based on Revised Syllabus-2023)>Chapter 2 - Inverse Trigonometric Functions>Exercise>Q 16

Find the domain of

g (x) = 2 \sin^{- 1} (2 x - 1) - \frac{π}{4}

.

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Mathematics Crash Course (Based on Revised Syllabus-2023)>Chapter 2 - Inverse Trigonometric Functions>Exercise>Q 17

Justify with reasons, the existence or otherwise of the following inverse expression :

$\sin^{- 1} \frac{3}{2}$

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12th Uttar Pradesh Board

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Mathematics Crash Course (Based on Revised Syllabus-2023)>Chapter 2 - Inverse Trigonometric Functions>Exercise>Q 18

Justify with reasons, the existence or otherwise of the following inverse expression :

$\cot^{- 1} (- \frac{3}{2})$ ,

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12th Uttar Pradesh Board

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Mathematics Crash Course (Based on Revised Syllabus-2023)>Chapter 2 - Inverse Trigonometric Functions>Exercise>Q 19

Justify with reasons, the existence or otherwise of the following inverse expression :

$\sec^{- 1} (\frac{1}{2})$ ,

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12th Uttar Pradesh Board

IMPORTANT

Mathematics Crash Course (Based on Revised Syllabus-2023)>Chapter 2 - Inverse Trigonometric Functions>Exercise>Q 20

Justify with reasons, the existence or otherwise of the following inverse expression :

$\cos^{- 1} (\frac{2.5}{3.9})$ ,