What is (cot(x)+tan(pi-x))/2 ?

The solution to (cot(x)+tan(pi-x))/2 is (cos(2x)csc(x))/(2cos(x))

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

simplify (cot(x)+tan(pi-x))/2

simplify

\frac{cot ( x ) + tan ( π - x )}{2}

\frac{cos ( 2 x ) csc ( x )}{2 cos ( x )}

Solution steps

\frac{cot ( x ) + tan ( π - x )}{2}

Rewrite using trig identities

= \frac{cot ( x ) - \frac{s i n ( x )}{c o s ( x )}}{2}

Simplify

\frac{cot ( x ) - \frac{s i n ( x )}{c o s ( x )}}{2} : \frac{cot ( x ) cos ( x ) - sin ( x )}{2 cos ( x )}

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

Simplify

cot (x) cos (x) - sin (x) : cos (2 x) csc (x)

= \frac{cos ( 2 x ) csc ( x )}{2 cos ( x )}

tan (3 π - x)

sec (- (tan (x)) (sin (x)))

a tan (- \frac{3}{3})

tan (2 x - π)

cos^{3} (x + \frac{π}{2})

What is (cot(x)+tan(pi-x))/2 ?
The solution to (cot(x)+tan(pi-x))/2 is (cos(2x)csc(x))/(2cos(x))