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

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

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simplify ((3cos(x)))/((sqrt(1+3sin(x))))

simplify

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

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

Solution steps

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

Multiply by the conjugate

\frac{1 + 3 sin ( x )}{1 + 3 sin ( x )}

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

1 + 3 sin (x) 1 + 3 sin (x) = 1 + 3 sin (x)

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

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