
Inverse trigonometric functions
Quiz by BALAJI
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10 questions
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- Q1what is the value of arcsin(-1/2)-pi/3pi/3-pi/6pi/630s
- Q2What is the value of $\sin^{-1}(1)$?$\frac{\pi}{3}$$\frac{\pi}{2}$$-\frac{\pi}{2}$$\frac{\pi}{4}$30s
- Q3What is the derivative of $\tan^{-1}(x)$?$\frac{1}{1+x^2}$$\frac{1}{\cos^2(x)}$$\an(x)$$-\frac{1}{1+x^2}$30s
- Q4If $\cos^{-1}(x) = alpha$, what is the value of $\sin(alpha)$?$1-x^2$$x$$\sqrt{1-x^2}$$\frac{1}{\sqrt{1-x^2}}$30s
- Q5What is the principal value of $\sec^{-1}(2)$?$\frac{\pi}{2}$$\frac{\pi}{6}$$\frac{\pi}{4}$$\frac{\pi}{3}$30s
- Q6If $y = \cos^{-1}(\sin(x))$, for which interval of $x$ is $y$ equal to $x$?$[0, \frac{\pi}{2}]$$[0, \pi]$$(-\frac{\pi}{2}, \frac{\pi}{2})$$[\frac{\pi}{2}, \pi]$30s
- Q7If $\sin^{-1}(x) + \cos^{-1}(x) = k$, what is the value of $k$?$1$$\pi$$\frac{\pi}{2}$$\frac{\pi}{4}$30s
- Q8What is $\cos^{-1}(-\frac{\sqrt{2}}{2})$?$\frac{3\pi}{4}$$\frac{\pi}{3}$$\frac{\pi}{4}$$\frac{\pi}{2}$30s
- Q9What is the range of the function $f(x) = tan^{-1}(x)$?$[0, \pi]$$(-\pi, \pi)$$[0, \frac{\pi}{2})$$(-\frac{\pi}{2}, \frac{\pi}{2})$30s
- Q10If $\sin^{-1}(x) = y$, what is $\cos(y)$?$\sqrt{1-x^2}$$x^2 - 1$$-\sqrt{1-x^2}$$\sqrt{x^2-1}$30s