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AP EAMCET2001MathematicsTrigonometric Equations

If cosec = p+q p-q , then ( 4 + 4 ) is equal to

Options

  1. Ap q
  2. Bq p
  3. Cp q
  4. Dp q

Correct answer

B. q p

Step-by-step solution

We have, array r 1 = p+q p-q 1+ ^2 / 2 2 / 2 = p+q p-q array Applying componendo and dividendo, aligned & 1+ ^2 / 2+2 / 2 1+ ^2 / 2-2 / 2 = p+q+p-q p+q-p+q & (1+ / 2)^2 (1- / 2)^2 = 2 p 2 q = p q & 4 + 2 1- 4 2 = p q & ( 2 + 4 )= p q & ( p 4 + 2 )= p q & aligned

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