What is the value of sin(pi/2)cos(pi/6)-cos(pi/2)sin(pi/6) ?

The value of sin(pi/2)cos(pi/6)-cos(pi/2)sin(pi/6) is (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/2)cos(pi/6)-cos(pi/2)sin(pi/6)

sin (\frac{π}{2}) cos (\frac{π}{6}) - cos (\frac{π}{2}) sin (\frac{π}{6})

\frac{3}{2}

Solution steps

sin (\frac{π}{2}) cos (\frac{π}{6}) - cos (\frac{π}{2}) sin (\frac{π}{6})

Use the following trivial identity:

sin (\frac{π}{2}) = 1

Use the following trivial identity:

cos (\frac{π}{6}) = \frac{3}{2}

Use the following trivial identity:

cos (\frac{π}{2}) = 0

Use the following trivial identity:

sin (\frac{π}{6}) = \frac{1}{2}

= 1 \cdot \frac{3}{2} - 0 \cdot \frac{1}{2}

Simplify

= \frac{3}{2}

sin (10 4^{\circ})

sin (1.57)

\frac{cos ( - 0.1 ) - 1}{- 0.1}

6 cos (4 5^{\circ})

cos (\frac{π}{6} + \frac{π}{4})

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