SSC CHSL 2023 · PYQ · Trigonometry · medium
If cos(A + B) = 0 and sin(A – B) = 0, then what is the value of angle A and angle B? (0 degree < A, B ≤ 90 degree)
Answer
The correct answer is B: 45 degree, 45 degree. cos(A+B)=0 means A+B=90°. sin(A–B)=0 means A–B=0°, so A=B.
- A.20 degree, 70 degree
- B.45 degree, 45 degree✓ Correct
- C.60 degree, 30 degree
- D.15 degree, 75 degree
cos(A+B)=0 means A+B=90°. sin(A–B)=0 means A–B=0°, so A=B. From A+A=90°, we get A=B=45°.
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