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NDA2025MathematicsTrigonometric Ratios & IdentitiesActual

Consider the following for the three (03) items that follow: Let p = 35° , q = 25° and r = (-95°) . What is (p + q + r) equal to?

Options

  1. A-1
  2. B0
  3. C2 5°
  4. D2 5°

Correct answer

B. 0

Step-by-step solution

Given p = 35^ , q = 25^ , and r = (-95^ ) . We need to find the value of p + q + r . p + q = 35^ + 25^ Using the formula A + B = 2 ( A+B 2 ) ( A-B 2 ) : p + q = 2 ( 35^ + 25^ 2 ) ( 35^ - 25^ 2 ) p + q = 2 30^ 5^ Since 30^ = 1 2 : p + q = 2 ( 1 2 ) 5^ = 5^ Now, evaluating r : r = (-95^ ) = - 95^ r = - (90^ + 5^ ) = - 5^ Therefore, p + q + r = 5^ - 5^ = 0 Answer: 0

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