If A = 60°, what is the value of: (10sinA/2+8cosA)/(7sin3A/2-12cosA)

If A = 60°, what is the value of…

If A = 60°, what is the value of: $\frac{10sin\frac{A}{2}+8cosA}{7sin\frac{3A}{2}-12cosA}$

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Correct answer: D

Explanation

The correct answer is option 4 i.e. 9

A = 60⁰

$\frac{10sin\frac{A}{2}+8cosA}{7sin\frac{3A}{2}-12cosA}$

= [(10sin60/2) + (8cos60)]/[{(7sin3(60)/2} - 12cos60]

= [(10sin30) + (8cos60)]/[{(7sin90} - 12cos60]

= [(10/2) + (8/2)]/[7(1) - 12/2]

= [5 + 4]/1

= 9