NECO Mathematics 2022 Objective — Question 29
Question 29 of 50 from the National Examinations Council (NECO) Mathematics 2022 Objective paper, with the correct answer and a full explanation.
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Given that sin(5x-28) degrees = cos(3x-50) degrees, 0<=x<=90, find the value of x.
- A. 39
- B. 32
- C. 21Correct
- D. 14
Explanation
Since sin(theta)=cos(90-theta): sin(5x-28)=cos[90-(5x-28)]=cos(118-5x). So cos(118-5x)=cos(3x-50), giving 118-5x=3x-50. Then 168=8x, so x=21.
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