What is the value of 1+sin((2pi)/3) ?

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

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

1+sin((2pi)/3)

1 + sin (\frac{2 π}{3})

1 + \frac{3}{2}

Decimal Notation

1.86602 \dots

Solution steps

1 + sin (\frac{2 π}{3})

Use the following trivial identity:

sin (\frac{2 π}{3}) = \frac{3}{2}

sin (\frac{2 π}{3})

sin (x)

periodicity table with

2 πn

cycle:

x 0 \frac{π}{6} \frac{π}{4} \frac{π}{3} \frac{π}{2} \frac{2 π}{3} \frac{3 π}{4} \frac{5 π}{6} sin (x) 0 \frac{1}{2} \frac{2}{2} \frac{3}{2} 1 \frac{3}{2} \frac{2}{2} \frac{1}{2} x π \frac{7 π}{6} \frac{5 π}{4} \frac{4 π}{3} \frac{3 π}{2} \frac{5 π}{3} \frac{7 π}{4} \frac{11 π}{6} sin (x) 0 - \frac{1}{2} - \frac{2}{2} - \frac{3}{2} - 1 - \frac{3}{2} - \frac{2}{2} - \frac{1}{2}

= \frac{3}{2}

= 1 + \frac{3}{2}

0.96 \cdot sin (3 0^{\circ})

\frac{0.93}{sin ( 13 2 ^{\circ} )}

cos (- 96 0^{\circ})

cos (\frac{3 π}{4}) - i \cdot sin (\frac{3 π}{4})

arcsin (\frac{6}{4})

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