If , then find the value of expression…

MATHEMATICS · Subjective · A Level · Mathematics · Trigonometry · Trigonometry

Problem

If

\pi < \alpha < \frac{3\pi}{2}

, then find the value of expression

\sqrt{4 \sin^4 \alpha + \sin^2 2\alpha + 4 \cos^2 \left( \frac{\pi}{4} - \frac{\alpha}{2} \right)}

.

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