a. Given that 15 cos 2 + 2 sin 2 = 7, show that tan

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a. Given that 15 cos2 θ + 2 sin2 θ = 7, show that tan2 θ = 8/5.

b. Solve 15 cos2 θ + 2 sin2 θ = 7 for 0 ≤ θ ≤ π radians.

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