Qus : 1
3 The value of
2tan-1 [cosec(tan-1 x) - tan(cot-1 x)]
1 tan x 2 cot x 3 tan-1 x 4 cosec-1 x Go to Discussion
Solution Qus : 2
1
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
1 1 2 0 3 2 4 3 Go to Discussion
Solution Qus : 3
2 The correct expression for cos^{-1} (-x) is
1 \frac{\pi}{2}-cos^{-1} x 2 \pi - cos^{-1} x 3 \pi + cos^{-1} x 4 \frac{\pi}{2} + cos^{-1} x Go to Discussion
Solution You should learn it as an important formula.Qus : 4
1 The value of \cot \Bigg{(}{cosec}^{-1}\frac{5}{3}+{\tan }^{-1}\frac{2}{3}\Bigg{)} is
1 6/17 2 3/17 3 4/17 4 5/17 Go to Discussion
Solution Qus : 5
4 Solutions of the equation {\tan }^{-1}\sqrt[]{{x}^2+x}+{\sin }^{-1}\sqrt[]{{x}^2+x+1}=\frac{\pi}{2} are
1 0, -1 2 1, -1 3 0, -1 4 0, -2 Go to Discussion
Solution Qus : 6
4 If cos^{-1} \frac{x}{2}+cos^{-1} \frac{y}{3}=\phi , then 9x^2-12xy cos\phi+4y^2 is
1 -36 sin^2\phi 2 36 sin^2\phi 3 36 cos^2\phi 4 36 Go to Discussion
Solution Qus : 9
4 Find the principal value of
is
1 π/2 2 π/6 3 7π/6 4 5π/6 Go to Discussion
Solution Qus : 11
3 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
1 \pi 2 \frac{\pi}{3} 3 \frac{\pi}{2} 4 \frac{\pi}{4} Go to Discussion
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