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AP EAMCET2015MathematicsTrigonometric Ratios & Identities

If + =p and + =q , then q (p^2-1 ) is equal to

Options

  1. A1 2
  2. B2
  3. C1
  4. D3

Correct answer

B. 2

Step-by-step solution

We have given, From Eq. (i) aligned & ( + )^2=p^2 & ^2 + ^2 +2 =p^2 & [ ^2 + ^2 and 2 =2 ] & 1+ 2 =p^2 aligned From Eq. (ii), + =q aligned & + 1 =q ^2 +1 =q & ^2 +1 2 = q 2 [ cosec 2 = ^2 +1 2 ] & cosec 2 = q 2 & 2 = 2 q aligned p^2-1= 2 q [from eq. (iii)] q (p^2-1 )=2

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