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
- A-1
- B0
- C2 5°
- 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