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NIMCET Previous Year Questions (PYQs)

NIMCET Inverse Trigonometrical Function PYQ

The value of 
2tan-1[cosec(tan-1x) - tan(cot-1x)]





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Solution

If $n_1$ and $n_2$ are the number of real valued solutions $x = | sin^{–1} x |$ & $x = sin (x)$ respectively, then the value of $n_2– n_1$ is





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Solution

The correct expression for $cos^{-1} (-x)$ is





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Solution

You should learn it as an important formula.
The value of $\cot \Bigg{(}{cosec}^{-1}\frac{5}{3}+{\tan }^{-1}\frac{2}{3}\Bigg{)}$ is





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Solution

Solutions of the equation ${\tan }^{-1}\sqrt[]{{x}^2+x}+{\sin }^{-1}\sqrt[]{{x}^2+x+1}=\frac{\pi}{2}$ are





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If $cos^{-1} \frac{x}{2}+cos^{-1} \frac{y}{3}=\phi$, then $9x^2-12xy cos\phi+4y^2$ is





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Solution

If  +  =  , then 






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Solution

The value of A that satisfies the equation asinA + bcosA = c is equal to






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Solution

Find the principal value of  is






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Solution

The value of  is





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Solution

The value of $sin^{-1}\frac{1}{\sqrt{2}}+sin^{-1}\frac{\sqrt{2}-\sqrt{1}}{\sqrt{6}}+sin^{-1}\frac{\sqrt{3}-\sqrt{2}}{\sqrt{12}}+...$ to infinity , is equal to





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Solution


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