What is the value of arccos(cos(-(3pi)/5)) ?

The value of arccos(cos(-(3pi)/5)) is (3pi)/5

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

arccos(cos(-(3pi)/5))

arccos (cos (- \frac{3 π}{5}))

\frac{3 π}{5}

Decimal Notation

108

Solution steps

arccos (cos (- \frac{3 π}{5}))

Use the following property:

cos (- x) = cos (x)

cos (- \frac{3 π}{5}) = cos (\frac{3 π}{5})

= arccos (cos (\frac{3 π}{5}))

Use the inverse trig property:

\frac{3 π}{5}

arccos (cos (\frac{3 π}{5}))

For

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

0 \leq \frac{3 π}{5} \leq π

= \frac{3 π}{5}

= \frac{3 π}{5}

2 sin (\frac{7 π}{6})

cos (\frac{14 π}{3})

csc (\frac{15 π}{4})

- cos (\frac{π}{2}) - (- cos (0))

cos (26 0^{\circ})

What is the value of arccos(cos(-(3pi)/5)) ?
The value of arccos(cos(-(3pi)/5)) is (3pi)/5