What is the value of (cot(pi/3)+csc(pi/3))/(cos(pi/4)) ?

The value of (cot(pi/3)+csc(pi/3))/(cos(pi/4)) is square root of 6

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

(cot(pi/3)+csc(pi/3))/(cos(pi/4))

\frac{cot ( \frac{π}{3} ) + csc ( \frac{π}{3} )}{cos ( \frac{π}{4} )}

6

Solution steps

\frac{cot ( \frac{π}{3} ) + csc ( \frac{π}{3} )}{cos ( \frac{π}{4} )}

Use the following trivial identity:

cot (\frac{π}{3}) = \frac{3}{3}

Use the following trivial identity:

csc (\frac{π}{3}) = \frac{2 3}{3}

Use the following trivial identity:

cos (\frac{π}{4}) = \frac{2}{2}

= \frac{\frac{3}{3} + \frac{2 3}{3}}{\frac{2}{2}}

Simplify

\frac{\frac{3}{3} + \frac{2 3}{3}}{\frac{2}{2}} : 6

= 6

cot (- 54 0^{\circ})

tan (- 28 5^{\circ})

- 3 cos^{2} (\frac{π}{2}) sin (\frac{π}{2})

csc (48 0^{\circ})

csc (22 0^{\circ})

What is the value of (cot(pi/3)+csc(pi/3))/(cos(pi/4)) ?
The value of (cot(pi/3)+csc(pi/3))/(cos(pi/4)) is square root of 6