(1-cos(a)^2sin(a)^2)/(1+cos(a)^2-sin(a)^2)

 Esercizio

$\frac{1-\cos^2\left(a\right)+\sin^2\left(a\right)}{1+\cos^2\left(a\right)-\sin^2\left(a\right)}$

 

Applying the trigonometric identity: $1-\sin\left(\theta \right)^2 = \cos\left(\theta \right)^2$

$\frac{1-\cos\left(a\right)^2+\sin\left(a\right)^2}{\cos\left(a\right)^2+\cos\left(a\right)^2}$

 Why is 1 - sin(x)^2 = cos(x)^2 ?

 

Combinazione di termini simili $\cos\left(a\right)^2$ e $\cos\left(a\right)^2$

$\frac{1-\cos\left(a\right)^2+\sin\left(a\right)^2}{2\cos\left(a\right)^2}$

 

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

$\frac{1-\cos\left(2a\right)}{2\cos\left(a\right)^2}$

 Why is cos(2x) = cos(x)^2 - sin(x)^2 ?

 

Applying the trigonometric identity: $2\cos\left(\theta \right)^2 = \cos\left(2\theta \right)+1$

$\frac{1-\cos\left(2a\right)}{\cos\left(2a\right)+1}$

$\frac{1-\cos\left(2a\right)}{\cos\left(2a\right)+1}$

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