a. Show that the equation 4sin 4 + 14 = 19 cos 2 can be

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a. Show that the equation 4sin4θ + 14 = 19 cos2θ can be written in the form 4x2 + 19x − 5 = 0, where x = sin2θ.
b. Hence, solve the equation 4sin4θ + 14 = 19 cos2θ for 0° ≤ θ ≤ 360°.

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