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MATHEMATICS

JAMB 2018 - Question 13

Mathematics 2018 JAMB Past Questions - Question 13: Given that Sin (5x -28) = Cos (3x -50) O < x < 90Find the value of x

Given that Sin (5x -28) = Cos (3x -50) O < x < 90Find the value of x

A: 14

B: 21

C: 32

D: 39

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Correct Answer

Explanation

To solve the equation sin(5x - 28) = cos(3x - 50) for 0 < x < 90 degrees, we can use the identity sin(x) = cos(90 - x). So, sin(5x - 28) = sin(90 - (3x - 50))This implies that 5x - 28 = 90 - (3x - 50)Solving for x:5x - 28 = 90 - 3x + 505x + 3x = 90 + 50 + 288x = 168x = 168 / 8x = 21So, the value of x is 21 degrees.