If $x_1$ and $x_2$ are the roots of $15x^2+28x+12=0$, then

Important Questions on Inverse Trigonometric Functions

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Gamma Question Bank for Engineering Mathematics>Chapter 22 - Inverse Trigonometric Functions>Assignment>Q 6

The expression $\tan \left(\frac{\pi }{4}+\frac{1}{2}{\cos }^{-1}x\right)+\tan \left(\frac{\pi }{4}-\frac{1}{2}{\cos }^{-1}x\right)$ equals -

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Gamma Question Bank for Engineering Mathematics>Chapter 22 - Inverse Trigonometric Functions>Assignment>Q 7

If $p>q>0$ and $p r<-1<q r$, then ${\tan }^{-1}\left(\frac{p-q}{1+pq}\right)+{\tan }^{-1}\left(\frac{q-r}{1+qr}\right)+{\tan }^{-1}\left(\frac{r-p}{1+rp}\right)$ is equal to

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Gamma Question Bank for Engineering Mathematics>Chapter 22 - Inverse Trigonometric Functions>Assignment>Q 8

If $k$ satisfies $k^2-k-6>0$, then a value exists for -

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Gamma Question Bank for Engineering Mathematics>Chapter 22 - Inverse Trigonometric Functions>Assignment>Q 9

The domain of the function $f\left(x\right)={\cos }^{-1}\left(\frac{2-\left|x\right|}{4}\right)$ is

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Gamma Question Bank for Engineering Mathematics>Chapter 22 - Inverse Trigonometric Functions>Assignment>Q 10

The domain of the function given by $f\left(x\right)=\sqrt{{\sin }^{-1}\left(2x\right)+\frac{\pi }{6}}$ is -

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Gamma Question Bank for Engineering Mathematics>Chapter 22 - Inverse Trigonometric Functions>Assignment>Q 11

The domain and range of $f\left(x\right)={\sin }^{-1}x+{\cos }^{-1}x+{\tan }^{-1}x+{\cot }^{-1}x+{\sec }^{-1}x+{cosec}^{-1}x$  respectively are -

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Gamma Question Bank for Engineering Mathematics>Chapter 22 - Inverse Trigonometric Functions>Assignment>Q 12

Let $f\left(x\right)={\sec }^{-1}\left(x-10\right)+{\cos }^{-1}\left(10-x\right)$. The range of $f\left(x\right)$ is

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Gamma Question Bank for Engineering Mathematics>Chapter 22 - Inverse Trigonometric Functions>Assignment>Q 13

${\cos }^{-1}\left(-x\right),\left|x\right|\le 1$, is equal to