a. Show that the equation 2cos 2 x = 4 5 sin x may be written

Question:

a. Show that the equation 2cos2 x = 4 − 5 sin x may be written as 2sin2 x − 5sin x + 2 = 0.

b. Hence solve, for 0 ≤ x < 360°, the equation 2cos2 x = 4 − 5 sin x.

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