Solve trigonometric equation to find exact trigonometric ratio

A question is this type if and only if it requires using a trigonometric equation or identity to find the exact value of a trigonometric ratio (such as sin θ, cos θ, or tan θ) rather than finding angle values, typically involving algebraic manipulation and possibly Pythagorean identities.

1 questions · Standard +0.8

1.05j Trigonometric identities: tan=sin/cos and sin^2+cos^2=1
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OCR H240/03 Q3
4 marks Standard +0.8
3 In this question you must show detailed reasoning. Given that \(5 \sin 2 x = 3 \cos x\), where \(0 ^ { \circ } < x < 90 ^ { \circ }\), find the exact value of \(\sin x\).