a. Show that 4 sin 2 x 3 cos 2 x = 2 can be written

Question:

a. Show that 4 sin2 x – 3 cos2 x = 2 can be written as 7 sin2 x = 5.

b. Hence solve, for 0 < x < 360°, the equation 4 sin2 x – 3 cos2 x = 2. Give your answers to 1 decimal place.

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