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1 of 10

\(x\epsilon\left({3\pi\over 2}, 2\pi\right)\)then the value of the expression sin-1 [cos {cos-1 (cos x)} + sin-1 (sin x)], is
2 of 10

The sum of the infinite terms of the series \(tan^{-1}\left(1\over 3\right)+tan^{-1}\left(2\over 9\right)+tan^{-1}\left(4\over 33\right)+......\) is equal to
3 of 10

If \(sin^{-1}\sqrt{(x^2+2x+1)}+sec^{c-1}\sqrt{(x^2+2x+1)}={\pi\over 2}\)x ≠ 0, then the value of \(2sec^{-1}\left(x\over 2\right)+sin^{-1}\left(x\over 2\right)\) is equal to
4 of 10

The greatest of tan1, tan-1 1, sin-11, sin1, cos 1, is
5 of 10

The value of 'a' for which a x2 + sin-1 (x2 - 2x + 2) + cos-1 (x2 - 2x + 2) = 0 has a real solution, is
6 of 10

If \(sin^{-1}x+sin^{-1}y+sin^{-1}z={3\pi\over 2}\) and f(1)=2 f(p + q) = f(p)· f(q), ∀ p, q ∈ R, \(X^{f(1)} + y^{f(2)} + z^{f(3)}-{(x+y+z)\over X^{f(1)} + y^{f(2)} + z^{f(3)}}\)
7 of 10

If the mapping f(x)=ax+b,a>0 maps [-1,1] onto [0, 2], then cot [cot-1 7 + cot-1 8 + cot-1 18] is equal to
8 of 10

The sum of the infinite series \(sin^{-1}\left(1\over \sqrt2\right)+sin^{-1}\left(\sqrt2-1\over \sqrt6\right)+sin^{-1}\left(\sqrt3-\sqrt2\over \sqrt{12}\right)+.......+........+sin^{-1}\left(\sqrt n-\sqrt{(n-1)}\over \sqrt\{n(n+1)\}\right)+.........\)is
9 of 10

If [sin-1 cos-1 sin-1 tan-1 x] = 1, where [.] denotes the greatest integer function, then x belongs to the interval
10 of 10

Solution set of [sin-1 x] > [cos-1 x], where [.] denotes the greatest integer function, is

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Get a Complete access of KEAM - Kerala Engineering Online practice tests - 100+ Mock Tests , 1000+ Online Practice tests, 100+ Previous Year questions and More

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Get a Complete access of KEAM - Kerala Engineering Online practice tests - 100+ Mock Tests , 1000+ Online Practice tests, 100+ Previous Year questions and More

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