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Manipal MET2019MathematicsTrigonometric Ratios & Identities

If P= 1 7 and Q= 13 14 , where P and Q both are acute angles. Then the value of P-Q is

Options

  1. A30^
  2. B60^
  3. C45^
  4. D75^

Correct answer

B. 60^

Step-by-step solution

Given that, P= 1 7 , Q= 13 14 P= 1- ^2 P = 1- 1 49 = 1 7 48 Now, Q= 1- ^2 Q = 1- 169 196 = 27 14 . Now, aligned & aligned & (P-Q)= P Q+ P Q & (P-Q)= 1 7 13 14 + 1 7 48 1 14 27 &= 13 98 + 36 98 = 49 98 = 1 2 & (P-Q)= 1 2 & (P-Q)= 60^ & P-Q=60^ aligned aligned

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