a. Find the maximum and minimum values of 7 sin 2 + 9 cos 2

Question:

a. Find the maximum and minimum values of 7 sin2θ + 9 cos2θ + 4sinθ cosθ + 2.

b. Hence, or otherwise, solve the equation 7 sin2θ+ 9 cos2θ + 4sinθ cosθ = 10 for 0° < θ < 360°.

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