exam Maths Puzzle Numerical Ability

I have theta = x.
How do I find the exact value of sin2x when x is an acute angle with cosx = 3/5.

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exam Other Question

Evaluate 15r/8 for r= 18 and S=9 simplify the rational expression

x2 - 6x + 8
-------------
x2 - 4

please help I need one good example to make sure I am doing this right.