What is expand tan(pi/3-x) ?

The solution to expand tan(pi/3-x) is (sqrt(3)-tan(x))/(sqrt(3)tan(x)+1)

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

expand tan(pi/3-x)

expand

tan (\frac{π}{3} - x)

\frac{3 - tan ( x )}{3 tan ( x ) + 1}

Solution steps

tan (\frac{π}{3} - x)

Rewrite using trig identities

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

Rewrite using trig identities

= \frac{3 - tan ( x )}{1 + 3 tan ( x )}

Rationalize

\frac{3 - tan ( x )}{1 + 3 tan ( x )} : \frac{- tan ( x ) + 3}{3 tan ( x ) + 1}

= \frac{3 - tan ( x )}{3 tan ( x ) + 1}

(x + 5) (2 x - 35)

lo g_{12} (\frac{y ^{4}}{z m ^{4}})

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

x^{\frac{5}{2}} (4 - x)

\frac{( x - 2 ) x ( x ^{2} + 44 )}{( x + 8 ) ( x + 4 )}

What is expand tan(pi/3-x) ?
The solution to expand tan(pi/3-x) is (sqrt(3)-tan(x))/(sqrt(3)tan(x)+1)