New chat PYQ Library Doubts Rank report

Sign in to see Recents

Sign in to save progress →

Inverse Trigonometric Functions question

2019 · 10 Jan · Shift 2 · Q40

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

PYQ Library
JEE Main
Mathematics
Inverse Trigonometric Functions
2019 · 10 Jan · Shift 2 · Q40

Inverse Trigonometric Functions question

2019 · 10 Jan · Shift 2 · Q40

JEE MainMathematicsInverse Trigonometric FunctionsMCQ+4 / −1

The value of

\cot \left( {\sum\limits_{n = 1}^{19} {{{\cot }^{ - 1}}} \left( {1 + \sum\limits_{p = 1}^n {2p} } \right)} \right)

is :

A
${{22} \over {23}}$
B
${{23} \over {22}}$
C
${{21} \over {19}}$
D
${{19} \over {21}}$

More from Inverse Trigonometric Functions

All x satisfying the inequality (cot–1 x)2– 7(cot–1 x) + 10 > 0, lie in the interval :2019 · MCQ
The value of $sin^{- 1} (\frac{12}{13}) - sin^{- 1} (\frac{3}{5})$ is equal to :2019 · MCQ
Considering only the principal values of inverse functions, the set A = { x $\geq$ 0: tan $-$ 1(2x) + tan $-$ 1(3x) = $\frac{π}{4}$ }2019 · MCQ
The value of tan-1 $[\frac{1 + x ^{2} + 1 - x ^{2}}{1 + x ^{2} - 1 - x ^{2}}], ∣ x ∣ < \frac{1}{2}, x e 0,$ is equal to :2017 · MCQ
A value of x satisfying the equation sin[cot−1 (1+ x)] = cos [tan−1 x], is :2017 · MCQ
Let $tan^{- 1} y = tan^{- 1} x + tan^{- 1} (\frac{2 x}{1 - x ^{2}}),$ where $∣ x ∣ < \frac{1}{3} .$ Then a value of $y$ is :2015 · MCQ
If $x, y, z$ are in A.P. and $tan^{- 1} x, tan^{- 1} y$ and $tan^{- 1} z$ are also in A.P., then :2013 · MCQ
The value of $co t (cos e c^{- 1} \frac{5}{3} + tan^{- 1} \frac{2}{3})$ is :2008 · MCQ