How many solutions does the equation sin (5x) = 1/2 have on the interval (0, 2PI]

Question

Mathematics

Madalynn Harrell

2 March, 01:15

How many solutions does the equation sin (5x) = 1/2 have on the interval (0, 2PI]

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Brittany Lewis · Answer 1

The sine function of angle is positive when the angle lies in the quadrants I and II. In this case, sin 5x = 1/2. Using a calculator in the radians mode, 5x = pi / 6; x = pi / 30. The second quadrant angle is pi - pi/30 equal to 29/30 pi. The answers are pi / 30 and 29/30 pi.