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Phrases Inverse Trigonometrical Function PYQ



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





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If n1 and n2 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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The correct expression for cos^{-1} (-x) is





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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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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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If  +  =  , then 






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






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Find the principal value of  is






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The value of  is





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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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