What is the value of arccos(cos(-(3pi)/2)) ?

The value of arccos(cos(-(3pi)/2)) is pi/2

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

arccos(cos(-(3pi)/2))

arccos (cos (- \frac{3 π}{2}))

\frac{π}{2}

Decimal Notation

90

Solution steps

arccos (cos (- \frac{3 π}{2}))

Use the inverse trig property:

\frac{π}{2}

arccos (cos (- \frac{3 π}{2}))

For

0 \leq x \leq π, a rccos (cos (x)) = x

Rewrite using trig identities:

cos (- \frac{3 π}{2}) = cos (\frac{π}{2})

cos (- \frac{3 π}{2})

cos (x + 2 π \cdot k) = cos (x)

= cos (- \frac{3 π}{2} + 1 \cdot 2 π)

= cos (\frac{π}{2})

= arccos (cos (\frac{π}{2}))

0 \leq \frac{π}{2} \leq π

= \frac{π}{2}

= \frac{π}{2}

3 e^{0} cos (\frac{π}{3})

csc (\frac{- 3 π}{4})

sin (\frac{π}{2} + \frac{π}{6})

cos (2 arcsin (\frac{9}{41}))

sin (\frac{24}{25})

What is the value of arccos(cos(-(3pi)/2)) ?
The value of arccos(cos(-(3pi)/2)) is pi/2