Skills in Mathematics Trigonometry for JEE Main & Advanced>Chapter 4 - Inverse Trigonometric Functions>Objective Questions>Q 8

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If in $Δ P Q R, angles P = \sin^{- 1} (α), Q = \sin^{- 1} (β)$ and $R = \sin^{- 1} (γ)$ , then $α \sqrt{1 - β^{2}} \sqrt{1 - γ^{2}} + β \sqrt{1 - α^{2}} \sqrt{1 - γ^{2}} + γ \sqrt{1 - α^{2}} \sqrt{1 - β^{2}}$ is:

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Important Questions on Inverse Trigonometric Functions

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JEE Main

IMPORTANT

Skills in Mathematics Trigonometry for JEE Main & Advanced>Chapter 4 - Inverse Trigonometric Functions>Objective Questions>Q 9

If

\sin^{- 1} (\sin x) = π - x,

then

x

belongs to:

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Skills in Mathematics Trigonometry for JEE Main & Advanced>Chapter 4 - Inverse Trigonometric Functions>Objective Questions>Q 10

The number of real solutions of

\cos^{- 1} a + \cos^{- 1} 2 a = - π

is:

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Skills in Mathematics Trigonometry for JEE Main & Advanced>Chapter 4 - Inverse Trigonometric Functions>Objective Questions>Q 11

If $a, b$ are the roots of the equation;

$6 x^{2} + 11 x + 3 = 0$

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Skills in Mathematics Trigonometry for JEE Main & Advanced>Chapter 4 - Inverse Trigonometric Functions>Objective Questions>Q 12

\tan^{- 1} α + \tan^{- 1} β,

where

α > 0, β > 0, α β > 1

is equal to

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IMPORTANT

Skills in Mathematics Trigonometry for JEE Main & Advanced>Chapter 4 - Inverse Trigonometric Functions>Objective Questions>Q 13

If

f (α) = \sin^{- 1} \{\frac{\sqrt{3}}{2} α - \frac{1}{2} \sqrt{1 - α^{2}}\}, - \frac{1}{2} \leq α \leq 1,

then

f (α)

is equal to:

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Skills in Mathematics Trigonometry for JEE Main & Advanced>Chapter 4 - Inverse Trigonometric Functions>Objective Questions>Q 14

\tan (\frac{π}{4} + \frac{1}{2} \cos^{- 1} α) + \tan (\frac{π}{4} - \frac{1}{2} \cos^{- 1} α), x \neq 0,

is equal to :

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Skills in Mathematics Trigonometry for JEE Main & Advanced>Chapter 4 - Inverse Trigonometric Functions>Objective Questions>Q 15

The number of solutions of the equation;

1 + a^{2} + 2 a \sin (\cos^{- 1} b) = 0

is: