What is the value of sin(pi/6)+cos(pi/6) ?

The value of sin(pi/6)+cos(pi/6) 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 >

sin(pi/6)+cos(pi/6)

sin (\frac{π}{6}) + cos (\frac{π}{6})

\frac{1 + 3}{2}

Solution steps

sin (\frac{π}{6}) + cos (\frac{π}{6})

Use the following trivial identity:

sin (\frac{π}{6}) = \frac{1}{2}

Use the following trivial identity:

cos (\frac{π}{6}) = \frac{3}{2}

= \frac{1}{2} + \frac{3}{2}

Simplify

\frac{1}{2} + \frac{3}{2} : \frac{1 + 3}{2}

= \frac{1 + 3}{2}

sin (\frac{π}{7})

arccot (- 4)

2 cos (\frac{7 π}{4})

2 sin (\frac{3 π}{4})

cot (0) sin (0)

What is the value of sin(pi/6)+cos(pi/6) ?
The value of sin(pi/6)+cos(pi/6) is (1+sqrt(3))/2