NDA · Mathematics
Inverse Trigonometric Functions
32 practice questions for NDA — 27 easy · 5 medium · 0 hard. Every question is graded instantly with a step-by-step solution when you miss it.
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MCQ
The value of $\sin ^{-1}\left(\frac{3}{5}\right)+\tan ^{-1}\left(\frac{1}{7}\right)$ is equal to
MCQ
If $k$ is a root of $x^2 - 4x + 1 = 0$, then what is $\tan^{-1}k + \tan^{-1}\dfrac{1}{k}$ equal to?
MCQ
If $3 \sin ^{-1} x+\cos ^{-1} x=\pi$, then what is $x$ equal to?
MCQ
The equation $\sin ^{-1} x-\cos ^{-1} x=\frac{\pi}{6}$ has
MCQ
If $\sin ^{-1} \frac{2 p}{1+p^2}-\cos ^{-1} \frac{1-q^2}{1+q^2}=\tan ^{-1} \frac{2 x}{1-x^2}$, then what is $x$ equal to ?
MCQ
What is the slope of the tangent of $y=\cos ^{-1}(\cos x)$ at $x=-\frac{\pi}{4} ?$
MCQ
What is the domain of the function $f(x)=\cos ^{-1}(x-2)$ ?
MCQ
If $\cos ^{-1} x=\sin ^{-1} x$, then which one of the following is correct?
MCQ
If $4 \sin ^{-1} x+\cos ^{-1} x=\pi$, then what is $\sin ^{-1} x+4 \cos ^{-1} x$ equal to?
MCQ
The principal value of $\sin ^{-1} x$ lies in the interval
MCQ
If $y=\cos ^{-1}\left(\frac{2 x}{1+x^2}\right)$, then $\frac{d y}{d x}$ is equal to
MCQ
What is the principal value of $\sin ^{-1}\left(\sin \frac{2 \pi}{3}\right)$ ?