New chat PYQ Library Doubts Rank report

Sign in to see Recents

Sign in to save progress →

Inverse Trigonometric Functions question

2023 · 31 Jan · Shift 2 · Q26

Guest · try one question or challengeGuest · try one question or challenge

PYQ Library
JEE Main
Mathematics
Inverse Trigonometric Functions
2023 · 31 Jan · Shift 2 · Q26

Inverse Trigonometric Functions question

2023 · 31 Jan · Shift 2 · Q26

JEE MainMathematicsInverse Trigonometric FunctionsMCQ+4 / −1

Let (a, b)

\subset(0,2 \pi)

be the largest interval for which

\sin ^{-1}(\sin \theta)-\cos ^{-1}(\sin \theta)\gt 0, \theta \in(0,2 \pi)

, holds. If

\alpha x^{2}+\beta x+\sin ^{-1}\left(x^{2}-6 x+10\right)+\cos ^{-1}\left(x^{2}-6 x+10\right)=0

and

\alpha-\beta=b-a

, then

\alpha

is equal to :

A
$\frac{\pi}{16}$
B
$\frac{\pi}{48}$
C
$\frac{\pi}{8}$
D
$\frac{\pi}{12}$

More from Inverse Trigonometric Functions

The set of all values of k for which $(tan^{- 1} x)^{3} + (cot^{- 1} x)^{3} = k π^{3}, x \in R$ , is the interval :2022 · MCQ
The domain of the function $f (x) = \frac{c o s ^{- 1} ( \frac{x ^{2} - 5 x + 6}{x ^{2} - 9} )}{l o g _{e} ( x ^{2} - 3 x + 2 )}$ is :2022 · MCQ
Let $x * y = x^{2} + y^{3}$ and $(x * 1) * 1 = x * (1 * 1)$ . Then a value of $2 sin^{- 1} (\frac{x ^{4} + x ^{2} - 2}{x ^{4} + x ^{2} + 2})$ is :2022 · MCQ
Let $x = sin (2 tan^{- 1} α)$ and $y = sin (\frac{1}{2} tan^{- 1} \frac{4}{3})$ . If $S = {a \in R : y^{2} = 1 - x}$ , then $α \in S \sum 16 α^{3}$ is equal to …2022 · Numerical
The value of $tan^{- 1} (\frac{c o s ( \frac{15 π}{4} ) - 1}{s i n ( \frac{π}{4} )})$ is equal to :2022 · MCQ
$tan (2 tan^{- 1} \frac{1}{5} + sec^{- 1} \frac{5}{2} + 2 tan^{- 1} \frac{1}{8})$ is equal to :2022 · MCQ
If $0 < x < \frac{1}{2}$ and $\frac{s i n ^{- 1} x}{α} = \frac{c o s ^{- 1} x}{β}$ , then the value of $sin (\frac{2 π α}{α + β})$ is :2022 · MCQ
If the inverse trigonometric functions take principal values then $cos^{- 1} (\frac{3}{10} cos (tan^{- 1} (\frac{4}{3})) + \frac{2}{5} sin (tan^{- 1} (\frac{4}{3})))$ …2022 · MCQ