WAEC Mathematics 2022 Objective — Question 29
Question 29 of 50 from the West African Examinations Council (WAEC) Mathematics 2022 Objective paper, with the correct answer and a full explanation.
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Given that sin(5x−28)°=cos(3x−50)°, 0°≤x≤90°, find the value of x.
- A. 39
- B. 32
- C. 21Correct
- D. 14
Explanation
Since sin and cos are complementary: sinθ=cos(90°−θ). So (5x−28)+(3x−50)=90 → 8x−78=90 → 8x=168 → x=21.
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