What is the value of 5sin((2pi)/3)+cos((2pi)/3) ?

The value of 5sin((2pi)/3)+cos((2pi)/3) is (5sqrt(3)-1)/2

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

5sin((2pi)/3)+cos((2pi)/3)

5 sin (\frac{2 π}{3}) + cos (\frac{2 π}{3})

\frac{5 3 - 1}{2}

Solution steps

5 sin (\frac{2 π}{3}) + cos (\frac{2 π}{3})

Use the following trivial identity:

sin (\frac{2 π}{3}) = \frac{3}{2}

Use the following trivial identity:

cos (\frac{2 π}{3}) = - \frac{1}{2}

= 5 \cdot \frac{3}{2} - \frac{1}{2}

Simplify

5 \cdot \frac{3}{2} - \frac{1}{2} : \frac{5 3 - 1}{2}

= \frac{5 3 - 1}{2}

\frac{tan ( 1 7 ^{\circ} ) + cot ( - 7 3 ^{\circ} )}{cot ( 1 7 ^{\circ} )}

sin (- 5 \cdot π)

cot (3 8^{\circ})

8 \cdot cos (6 0^{\circ})

\frac{sin ( 6 4 ^{\circ} )}{8} + 48 ln (2) cos (6 4^{\circ})

What is the value of 5sin((2pi)/3)+cos((2pi)/3) ?
The value of 5sin((2pi)/3)+cos((2pi)/3) is (5sqrt(3)-1)/2