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If and y = ( 1 2 ^ -1 ( x 2 ) ) then which of the following statements holds good ?
MATHEMATICS · Single correct · CBSE · Mathematics · Inverse Trigonometric Functions · Inverse Trigonometric Functions
Problem If x = 2 cos − 1 ( 1 2 ) + sin − 1 ( 1 2 ) + tan − 1 ( 3 ) x = 2 \cos^{-1}\left(\frac{1}{2}\right) + \sin^{-1}\left(\frac{1}{\sqrt{2}}\right) + \tan^{-1}(\sqrt{3}) x = 2 cos − 1 ( 2 1 ) + sin − 1 ( 2 1 ) + tan − 1 ( 3 ) and
y = cos ( 1 2 sin − 1 ( sin x 2 ) ) then which of the following y = \cos\left(\frac{1}{2} \sin^{-1}\left(\sin \frac{x}{2}\right)\right) \text{ then which of the following} y = cos ( 2 1 sin − 1 ( sin 2 x ) ) then which of the following
statements holds good ?
(a) y = cos 3 π 16 y = \cos \frac{3\pi}{16} y = cos 16 3 π
(b) y = cos 5 π 16 y = \cos \frac{5\pi}{16} y = cos 16 5 π
(c) x = 4 cos − 1 y x = 4 \cos^{-1} y x = 4 cos − 1 y
(d) none of these
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