What is the value of sin((3pi)/2)+cos(pi/4) ?

The value of sin((3pi)/2)+cos(pi/4) is -1+(sqrt(2))/2

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

sin((3pi)/2)+cos(pi/4)

sin (\frac{3 π}{2}) + cos (\frac{π}{4})

- 1 + \frac{2}{2}

Solution steps

sin (\frac{3 π}{2}) + cos (\frac{π}{4})

Rewrite using trig identities:

sin (\frac{3 π}{2}) = - 1

Use the following trivial identity:

cos (\frac{π}{4}) = \frac{2}{2}

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

sin (4 0^{\circ}) cos (1 5^{\circ}) - cos (4 0^{\circ}) sin (1 5^{\circ})

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

- 3 cos (\frac{3 π}{2})

csc (\frac{41 π}{6})

arctan (\frac{3}{248})

What is the value of sin((3pi)/2)+cos(pi/4) ?
The value of sin((3pi)/2)+cos(pi/4) is -1+(sqrt(2))/2