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Prove that: (a) cos510^(@) sin510^(@) + ...

Prove that: (a) `cos510^(@) sin510^(@) + sin(-330^(@)) cos(-390^(@))=0`
b) `tan(11pi)/(3) -2sin(9pi)/3-3/4"cosec"^(2)pi/4 + 4cos^(2)(17pi)/6=(3-2sqrt(3))/2`

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Let's solve the given problems step by step. ### Part (a): Prove that \[ \cos(510^\circ) \sin(510^\circ) + \sin(-330^\circ) \cos(-390^\circ) = 0 \] **Step 1: Simplify \(\cos(510^\circ)\) and \(\sin(510^\circ)\)** ...
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