Problem

Problem

Match the statement of Column I with values of Column II.
Column-IColumn-II
(A) The tangents of two acute angles are 3 and 2. The sine of twice their difference is(p) 1
(B) If n=π4αn = \frac{\pi}{4\alpha} , then tan⁡αtan⁡2αtan⁡3α…tan⁡(2n−1)α\tan \alpha \tan 2\alpha \tan 3\alpha \dots \tan(2n-1)\alpha is equal to(q) 0
(C) If x=ycos⁡2π3=zcos⁡4π3x = y \cos \frac{2\pi}{3} = z \cos \frac{4\pi}{3} , then xy+yz+zx=xy + yz + zx =(r) 12\frac{1}{2}
(D) The ratio of the greatest value of 2−cos⁡x+sin⁡2x2 - \cos x + \sin^2 x to its least value is(s) 725\frac{7}{25}
(t) 134\frac{13}{4} |

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