Download App

STD 12 - 2. inverse trigonometric function — JEE STD 11 Science — Question

Gujarat BoardEnglish MediumSTD 11 ScienceJEESTD 12 - 2. inverse trigonometric function4 Marks
MCQ
${\sin ^{ - 1}}\frac{4}{5} + 2{\tan ^{ - 1}}\frac{1}{3} = $
  • ✓
    $\frac{\pi }{2}$
  • B
    $\frac{\pi }{3}$
  • C
    $\frac{\pi }{4}$
  • D
    None of these
✓

Answer

Correct option: A.
$\frac{\pi }{2}$
a
(a) ${\sin ^{ - 1}}\frac{4}{5} = {\tan ^{ - 1}}\frac{4}{3},{\rm{ }}2{\tan ^{ - 1}}\frac{1}{3} = {\tan ^{ - 1}}\frac{3}{4} = {\cot ^{ - 1}}\frac{4}{3}$ and ${\tan ^{ - 1}}x + {\cot ^{ - 1}}x = \frac{\pi }{2}$.

Need a full question paper?

Generate a complete, print-ready paper with questions like this in minutes — across 16+ boards, with answer keys.

Start Generating Free

Explore more

JEE STD 11 Science question papers→Gujarat Board STD 11 Science question papers→Gujarat Board question paper generator→

Similar questions

If ${a_1},\;{a_2},\,{a_3},......{a_{24}}$ are in arithmetic progression and ${a_1} + {a_5} + {a_{10}} + {a_{15}} + {a_{20}} + {a_{24}} = 225$, then ${a_1} + {a_2} + {a_3} + ........ + {a_{23}} + {a_{24}} = $
→
$\int {{e^{3\log x}}{{({x^4} + 1)}^{ - 1}}\,\,dx} $=
→
The solution of ${\log _{\sqrt 3 }}x + {\log _{\sqrt[4]{3}}}x + {\log _{\sqrt[6]{3}}}x + ......... + {\log _{\sqrt[{16}]{3}}}x = 36$ is
→
Let $L(m)$ be the $x-$ coordinate of the left end point of the intersection of the graphs of $y = x^2 - 6$ and $y = m$ , where $-6 < m < 6$ . The value of $\mathop {\lim }\limits_{m \to 0} \left( {\frac{{L\left( { - m} \right) - L\left( m \right)}}{m}} \right)$ equals
→
The value of $0.\mathop {234}\limits^{\,\,\, \bullet \,\, \bullet } $ is
→
$I = \int\limits_0^1 {\sqrt[3]{{2{x^3} - 3{x^2} - x + 1}}\,dx} $ is equal to
→
The probabilities of winning the race by two athletes $A$ and $B$ are $\frac{1}{5}$ and $\frac{1}{4}.$ The probability of winning by neither of them, is
→
Let $P$ be a moving point such that sum of its perpendicular distances from $2x + y = 3$ and $x - 2y + 1 = 0$ is always $2\, units$ then area bounded by locus of point $P$ is
→
If the system of equations $x+y+z=6 \,; \,2 x+5 y+\alpha z=\beta  \,; \, x+2 y+3 z=14$ has infinitely many solutions, then $\alpha+\beta$ is equal to.
→
The sum of the series $\frac{1}{x+1}+\frac{2}{x^{2}+1}+\frac{2^{2}}{x^{4}+1}+\ldots . .+\frac{2^{100}}{x^{2^{100}}+1}$ when $x=2$ is :
→