Question: a) Express 3 sin x 4 cos x in the form a + b cos x, stating the values of a and b. b)

a) Express 3 sin² x − 4 cos² x in the form a + b cos² x, stating the values of a and b.

b) Hence state the maximum and minimum values of 3 sin²x − 4 cos²x.

c) Solve the equation 3 sin² x − 4 cos² x + 1 = 0
for 0° ≤ x ≤ 180°.

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