New chat PYQ Library Doubts Rank report

Sign in to see Recents

Sign in to save progress →

Inverse Trigonometric Functions question

2007 · Shift 0 · Q43

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

PYQ Library
JEE Main
Mathematics
Inverse Trigonometric Functions
2007 · Shift 0 · Q43

Inverse Trigonometric Functions question

2007 · Shift 0 · Q43

JEE MainMathematicsInverse Trigonometric FunctionsMCQ+4 / −1

If sin-1

\left( {{x \over 5}} \right)

+ cosec-1

\left( {{5 \over 4}} \right)

=

{\pi \over 2}

, then the value of x is :

A
4
B
5
C
1
D
3

More from Inverse Trigonometric Functions

If $cos^{- 1} x - cos^{- 1} \frac{y}{2} = α,$ then $4 x^{2} - 4 x y cos α + y^{2}$ is equal to :2005 · MCQ
The trigonometric equation $sin^{- 1} x = 2 sin^{- 1} a$ has a solution for :2003 · MCQ
$cot^{- 1} (cos α) - tan^{- 1} (cos α) = x,$ then sin x is equal to :2002 · MCQ
$If y = cos (\frac{π}{3} + cos^{- 1} \frac{x}{2}), then (x - y)^{2} + 3 y^{2} is equal to$ 2025 · Numerical
Considering the principal values of the inverse trigonometric functions, $sin^{- 1} (\frac{3}{2} x + \frac{1}{2} 1 - x^{2}), - \frac{1}{2} < x < \frac{1}{2}$ , is equal to2025 · MCQ
The sum of the infinite series $cot^{- 1} (\frac{7}{4}) + cot^{- 1} (\frac{19}{4}) + cot^{- 1} (\frac{39}{4}) + cot^{- 1} (\frac{67}{4}) + \dots$ . is :2025 · MCQ
The value of $cot^{- 1} (\frac{1 + t a n ^{2} ( 2 ) - 1}{t a n ( 2 )}) - cot^{- 1} (\frac{1 + t a n ^{2} ( \frac{1}{2} ) + 1}{t a n ( \frac{1}{2} )})$ is equal to2025 · MCQ
Using the principal values of the inverse trigonometric functions, the sum of the maximum and the minimum values of $16 ((sec^{- 1} x)^{2} + (cosec^{- 1} x)^{2})$ is :2025 · MCQ