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Exercise

$cos^244-sin^244$

Step-by-step Solution

1

Factor the polynomial $44\cos\left(x\right)^2-44\sin\left(x\right)^2$ by it's greatest common factor (GCF): $44$

$44\left(\cos\left(x\right)^2-\sin\left(x\right)^2\right)$
2

Applying the trigonometric identity: $\cos\left(\theta \right)^2-\sin\left(\theta \right)^2 = \cos\left(2\theta \right)$

$44\cos\left(2x\right)$
Why is cos(2x) = cos(x)^2 - sin(x)^2 ?

Final answer to the exercise

$44\cos\left(2x\right)$

Try other ways to solve this exercise

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