Simplify the trigonometric expression 4cos(75)^2

 Exercise

$4\cdot\cos\left(75\right)^2$

 

Apply the trigonometric identity: $\cos\left(\theta \right)^2$$=\frac{1+\cos\left(2\theta \right)}{2}$, where $x=75$

$\frac{4\cdot \left(1+\cos\left(2\cdot 75\right)\right)}{2}$

 

Multiply $2$ times $75$

$\frac{4\cdot \left(1+\cos\left(150\right)\right)}{2}$

 

Take $\frac{4}{2}$ out of the fraction

$2\cdot \left(1+\cos\left(150\right)\right)$

 

Multiply the single term $2$ by each term of the polynomial $\left(1+\cos\left(150\right)\right)$

$2+2\cos\left(150\right)$

$2+2\cos\left(150\right)$

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