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

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

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

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

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

2 - 1

Solution steps

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

Use the following trivial identity:

cos (\frac{π}{2}) = 0

Use the following trivial identity:

sin (\frac{π}{2}) = 1

Use the following trivial identity:

cos (\frac{π}{4}) = \frac{2}{2}

Use the following trivial identity:

sin (\frac{π}{4}) = \frac{2}{2}

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

Simplify

- 0 - 1 + \frac{2}{2} + \frac{2}{2} : 2 - 1

= 2 - 1

arcsin (\frac{35}{37})

arcsin (- \frac{2}{2})

tan (2 arcsin (- \frac{5}{13}))

cos (2 arcsin (\frac{7}{3}))

6 arctan (1)

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