WAEC Mathematics 2023 Objective — Question 31
Question 31 of 50 from the West African Examinations Council (WAEC) Mathematics 2023 Objective paper, with the correct answer and a full explanation.
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Find the value of α in the equation cos(α+14)°=sin(4α+6)°.
- A. 14Correct
- B. 16
- C. 13
- D. 14
Explanation
Using the complementary relation cos(α+14)=sin(90-(α+14))=sin(4α+6): 90-(α+14)=4α+6 → 90-α-14=4α+6 → 70=5α → α=14.
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