What is the value of arccos(sin((3pi)/4)) ?

The value of arccos(sin((3pi)/4)) is pi/4

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

arccos(sin((3pi)/4))

arccos (sin (\frac{3 π}{4}))

\frac{π}{4}

Solution steps

arccos (sin (\frac{3 π}{4}))

Rewrite using trig identities:

sin (\frac{3 π}{4}) = sin (\frac{π}{4})

= arccos (sin (\frac{π}{4}))

Rewrite using trig identities:

sin (\frac{π}{4}) = cos (\frac{π}{4})

= arccos (cos (\frac{π}{4}))

Use the inverse trig property:

\frac{π}{4}

= \frac{π}{4}

cos (\frac{π}{9}) cos (\frac{2 π}{9}) - sin (\frac{π}{9}) sin (\frac{2 π}{9})

csc (3 9^{\circ})

24 tan (7 0^{\circ})

arctan (\frac{60}{40})

sin (\frac{5 π}{5})

What is the value of arccos(sin((3pi)/4)) ?
The value of arccos(sin((3pi)/4)) is pi/4