What is (cos^2(x)-sin^2(x))/(cos^2(x)+sin^2(x)) ?

The solution to (cos^2(x)-sin^2(x))/(cos^2(x)+sin^2(x)) is cos(2x)

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simplify (cos^2(x)-sin^2(x))/(cos^2(x)+sin^2(x))

simplify

\frac{cos ^{2} ( x ) - sin ^{2} ( x )}{cos ^{2} ( x ) + sin ^{2} ( x )}

cos (2 x)

Solution steps

\frac{cos ^{2} ( x ) - sin ^{2} ( x )}{cos ^{2} ( x ) + sin ^{2} ( x )}

Simplify

cos^{2} (x) - sin^{2} (x) : cos (2 x)

= \frac{cos ( 2 x )}{cos ^{2} ( x ) + sin ^{2} ( x )}

Simplify

cos^{2} (x) + sin^{2} (x) : 1

= \frac{cos ( 2 x )}{1}

Apply the fraction rule:

\frac{a}{1} = a

= cos (2 x)

2 (3 - i) (- 2 + 4 i)

(x^{2} y - 3 y^{2} + 5 x y^{2}) - (- x^{2} y + 3 x y^{2} - 3 y^{2})

ln (1.7)

3 \cdot + 1

\frac{3 a + 2 b}{3} + \frac{b - 2 a}{6}

What is (cos^2(x)-sin^2(x))/(cos^2(x)+sin^2(x)) ?
The solution to (cos^2(x)-sin^2(x))/(cos^2(x)+sin^2(x)) is cos(2x)