Download App

Inverse Trigonometric Functions — Maths STD 12 Science — Question

Gujarat BoardEnglish MediumSTD 12 ScienceMathsInverse Trigonometric Functions1 Mark
MCQ
If $x$ takes negative permissible value, then $\sin−1\text{x} $ is equal to:
  • A
    $\cos^{-1}\sqrt{1-\text{x}^2}$
  • ✓
    $-\cos^{-1}\sqrt{1-\text{x}^2}$
  • C
    $\cos^{-1}\sqrt{\text{x}^2-1}$
  • D
    $\pi-\cos^{-1}\sqrt{1-\text{x}^2}$
✓

Answer

Correct option: B.
$-\cos^{-1}\sqrt{1-\text{x}^2}$
$\sin^{-1}(\text{x})$
$-\cos^{-1}\Big(\sqrt{1-\text{x}^2}\Big),$ for $x > 0$
Since $x$ takes negative permissible value.
$\sin^{-1}\text{x}=-\cos^{-1}\Big(\sqrt{1-\text{x}^2}\Big)$

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

More "M.C.Q (1 Marks)" from Inverse Trigonometric Functions→Inverse Trigonometric Functions — all question types→Maths STD 12 Science question papers→Gujarat Board STD 12 Science question papers→Gujarat Board question paper generator→

Similar questions

If $y = {\tan ^{ - 1}}\left( {{{\sqrt a - \sqrt x } \over {1 + \sqrt {ax} }}} \right)$, then ${{dy} \over {dx}} = $
→
Write the cofactor of the element $a_{31}$ in
$
A=\left(\begin{array}{lll}
3 & 2 & 6 \\
5 & 0 & 7 \\
3 & 8 & 5
\end{array}\right).
$
→
$\int_{}^{} {{{\sin }^2}x\cos x\;dx} $ is equal to
→
A unit vector along the direction $\hat{\text{i}}+\hat{\text{j}}+\hat{\text{k}}$ has a magnitude:
→
In a pack of playing cards there are $4$ Ace, $4$ King, $4$ Queen and $4$ Jack. Two cards are drawn. What is the probability getting at least one Ace?
→
If ${\cos ^{ - 1}}x + {\cos ^{ - 1}}y = 2\pi ,$ then ${\sin ^{ - 1}}x + {\sin ^{ - 1}}y$ is equal to
→
The line $x = 1, y = 2$ is:
→
The function $\text{f(x)=}\begin{cases}\frac{\text{e}\frac{1}{\text{x}}-1}{\text{e}\frac{1}{\text{x}}+1},&\text{x}\neq0\\0,&\text{x}=0\end{cases}$
→
Choose the correct answer in Exercises:If $\frac{\text{d}}{\text{dx}}\text{f}\text{(x)}=4\text{x}^3-\frac{3}{\text{x}^4}$such that $\text{f}(2)=0.$Then $\text{f}\text{(x)}$ is
→
The parameter on which the value of the determinant $\left| {\,\begin{array}{*{20}{c}}1&a&{{a^2}}\\{\cos (p - d)x}&{\cos px}&{\cos (p + d)x}\\{\sin (p - d)x}&{\sin px}&{\sin (p + d)x}\end{array}\,} \right|$ does not depend upon
→