rewrite expression as a product of 2 factors

Question

rewrite expression as a product of 2 factors:

x/3

rewrite as product of 5 trigometric factors (no fractions)

sec^2 3x cot 2x / csc 2x

Answer 1

x/3 = x * 1/3

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sin 2x / ( cos ^2 3x) ( tan 2x) = <--- sec and cotangent go to the bottom; csc goes to top

2 sin x cos x / (cos ^2 3x)( tan 2x) = <--- sin 2x = 2 sin x cos x

( 2 sin x cos x) (cos 2x) / ( cos ^2 3x) ( sin 2x) <---- tangent has reciprocal cos/sin

There's 5 trig functions but there's more work to be done