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COMEDK2017MathematicsTrigonometric Ratios & Identities

The value of 2 cosec 2 x+ cosec x is equal to

Options

  1. Ax (x / 2)
  2. Bx (x / 2)
  3. Cx (x / 2)
  4. Dx (x / 2)

Correct answer

B. x (x / 2)

Step-by-step solution

2 cosec 2 x+ cosec x aligned &= 2 2 x + 1 x = 2 2 x x + 1 x &= 1 x [ 1 x +1 ]= 1 x (1+ x) x &= 1 x 2 ²(x / 2) 2 (x / 2) (x / 2) &= x (x / 2) (x / 2) [ array l 2 x=2 ² x-1 2 x=2 x x array ] &= x (x / 2) aligned

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