Question

If angle θ = 30°, find the value of 4 cos³θ - 3cosθ​

Answer 1

$\underline {\underline{\huge{\dag{\textsf{\textbf{\pink{Answer:}}}}}}} \\ \\ \large\sf\underline\bold{Given :} \\ \\ \sf\Theta = 30 \\ \\ \sf\huge\mathfrak\bigstar{Solution\implies} \\ \\ \implies \: 4 \times {\cos(30)}^{3} - 3 \times \cos(30) \\ \\ \implies \: 4 \: \times \: \frac{ \sqrt{3} }{2} \: - \: 3 \times \frac{ \sqrt{3} }{2} \\ \\ \implies \: 2 \sqrt{3} - \frac{3 \sqrt{3} }{2} \\ \\ \implies \: \frac{4 \sqrt{3} - 3 \sqrt{3} }{2} \\ \\ \implies \: \boxed{\frac{ \sqrt{3} }{2} }$

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