What is (cos(x))/(1+sin(x))-(cos(x))/(1-sin(x)) ?

The solution to (cos(x))/(1+sin(x))-(cos(x))/(1-sin(x)) is -2tan(x)

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

simplify (cos(x))/(1+sin(x))-(cos(x))/(1-sin(x))

simplify

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

- 2 tan (x)

Solution steps

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

Join

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

= - \frac{sin ( 2 x )}{( sin ( x ) + 1 ) ( - sin ( x ) + 1 )}

Simplify

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

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

Simplify

\frac{sin ( 2 x )}{cos ^{2} ( x )} : 2 tan (x)

= - 2 tan (x)

(- 5) - (- 4)

15 \frac{1}{2}

7 \cdot \frac{3}{4}

- ln (0.86) - \frac{1}{0.86} - 0.3678 e

10 a^{2} + 11 a + 3

What is (cos(x))/(1+sin(x))-(cos(x))/(1-sin(x)) ?
The solution to (cos(x))/(1+sin(x))-(cos(x))/(1-sin(x)) is -2tan(x)