What is expand 1/((cos(x)+sqrt(3)sin(x))^2) ?

The solution to expand 1/((cos(x)+sqrt(3)sin(x))^2) is 1/(cos^2(x)+sqrt(3)sin(2x)+3sin^2(x))

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expand 1/((cos(x)+sqrt(3)sin(x))^2)

expand

\frac{1}{( cos ( x ) + 3 sin ( x ) ) ^{2}}

\frac{1}{cos ^{2} ( x ) + 3 sin ( 2 x ) + 3 sin ^{2} ( x )}

Solution steps

\frac{1}{( cos ( x ) + 3 sin ( x ) ) ^{2}}

(cos (x) + 3 sin (x))^{2} = cos^{2} (x) + 3 sin (2 x) + 3 sin^{2} (x)

= \frac{1}{cos ^{2} ( x ) + 3 sin ( 2 x ) + 3 sin ^{2} ( x )}

\frac{2 ( h + 2 x )}{( x + 3 ) ( x - 3 ) ( h + x + 3 ) ( h + x - 3 )}

(4 x^{2} y^{3} + \frac{1}{x}) d x

\frac{( b g - lo g _{10} ( a + b ) ) ^{2}}{l ^{4} a ^{6}}

(z + \frac{3}{2}) (z - \frac{3}{2})

What is expand 1/((cos(x)+sqrt(3)sin(x))^2) ?
The solution to expand 1/((cos(x)+sqrt(3)sin(x))^2) is 1/(cos^2(x)+sqrt(3)sin(2x)+3sin^2(x))