What is the value of sin(pi/4)cos(pi/2)+cos(pi/4)sin(pi/2) ?

The value of sin(pi/4)cos(pi/2)+cos(pi/4)sin(pi/2) is (sqrt(2))/2

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

sin(pi/4)cos(pi/2)+cos(pi/4)sin(pi/2)

sin (\frac{π}{4}) cos (\frac{π}{2}) + cos (\frac{π}{4}) sin (\frac{π}{2})

\frac{2}{2}

Solution steps

sin (\frac{π}{4}) cos (\frac{π}{2}) + cos (\frac{π}{4}) sin (\frac{π}{2})

Use the following trivial identity:

sin (\frac{π}{4}) = \frac{2}{2}

Use the following trivial identity:

cos (\frac{π}{2}) = 0

Use the following trivial identity:

cos (\frac{π}{4}) = \frac{2}{2}

Use the following trivial identity:

sin (\frac{π}{2}) = 1

= \frac{2}{2} \cdot 0 + \frac{2}{2} \cdot 1

Simplify

= \frac{2}{2}

tan (\frac{4 π}{6})

arcsin (\frac{4}{5.5})

\frac{1}{2} (1 - cos (1))

arctan (\frac{- 5}{2})

arccos (0.875)

What is the value of sin(pi/4)cos(pi/2)+cos(pi/4)sin(pi/2) ?
The value of sin(pi/4)cos(pi/2)+cos(pi/4)sin(pi/2) is (sqrt(2))/2