Question
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?
NDA
Mathematics
Trigonometric Ratios & Identities
2025
NDA 2025 (Phase 1)
NDA Mathematics Question (2025) — Solution
Options
- A. -1
- B. 0
- C. 2 5°
- D. 2 5°
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
Related: Mathematics — Trigonometric Ratios & Identities · All PYQ Banks