What is (cos(x)+cos(3x))/(cos^2(x)-sin^2(x)) ?

The solution to (cos(x)+cos(3x))/(cos^2(x)-sin^2(x)) is (cos(3x)+cos(x))/(cos(2x))

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simplify (cos(x)+cos(3x))/(cos^2(x)-sin^2(x))

simplify

\frac{cos ( x ) + cos ( 3 x )}{cos ^{2} ( x ) - sin ^{2} ( x )}

\frac{cos ( 3 x ) + cos ( x )}{cos ( 2 x )}

Solution steps

\frac{cos ( x ) + cos ( 3 x )}{cos ^{2} ( x ) - sin ^{2} ( x )}

Use the Double Angle identity:

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

= \frac{cos ( 3 x ) + cos ( x )}{cos ( 2 x )}

lo g_{9} (\frac{27}{81})

\frac{π}{3} + \frac{π}{6}

\frac{sinh ( x )}{cosh ( x )}

\frac{3}{2} \cdot (\frac{4}{3})^{1} - 1

\frac{2 x ^{2} - x - 3}{3 x ^{2} + 2 x - 1}

What is (cos(x)+cos(3x))/(cos^2(x)-sin^2(x)) ?
The solution to (cos(x)+cos(3x))/(cos^2(x)-sin^2(x)) is (cos(3x)+cos(x))/(cos(2x))