Verify Trigonometric Indentities - Question 5

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In this video, the steps to solve question 5 in grade 12 practice on verifying trigonometric identies are presented.
Question: Verify the identity : \( \quad \displaystyle \frac {1}{2 \sin x} \tan (2x) = \frac{\cos x }{1-2 \sin^2 x} \)