What is expand (3(1-sin(x)))/(2cos(x)) ?

The solution to expand (3(1-sin(x)))/(2cos(x)) is 3/(2cos(x))-(3sin(x))/(2cos(x))

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expand (3(1-sin(x)))/(2cos(x))

expand

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

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

Solution steps

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

Expand

3 (1 - sin (x)) : 3 - 3 sin (x)

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

Apply the fraction rule:

\frac{a \pm b}{c} = \frac{a}{c} \pm \frac{b}{c}

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

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

\frac{2 x ^{3}}{( 1 - x ^{2} ) ^{2}}

3 (x - 3)

\frac{6 x + 13}{( x + 3 ) ( x + 2 )}

(i + k + j + 2) \times (i + ik + kj + j)^{2}

x - 7^{2}

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