What is the value of arccos(cos((-5pi)/4)) ?

The value of arccos(cos((-5pi)/4)) is (3pi)/4

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arccos(cos((-5pi)/4))

arccos (cos (\frac{- 5 π}{4}))

\frac{3 π}{4}

Decimal Notation

135

Solution steps

arccos (cos (\frac{- 5 π}{4}))

Use the inverse trig property:

\frac{3 π}{4}

arccos (cos (\frac{- 5 π}{4}))

For

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

Rewrite using trig identities:

cos (\frac{- 5 π}{4}) = cos (\frac{3 π}{4})

cos (\frac{- 5 π}{4})

cos (x + 2 π \cdot k) = cos (x)

= cos (\frac{- 5 π}{4} + 1 \cdot 2 π)

= cos (\frac{3 π}{4})

= arccos (cos (\frac{3 π}{4}))

0 \leq \frac{3 π}{4} \leq π

= \frac{3 π}{4}

= \frac{3 π}{4}

arcsin (- 3)

sin (7 1^{\circ})

sin (- 4)

- 2 cos (\frac{π}{2})

80 cos (3 0^{\circ})

What is the value of arccos(cos((-5pi)/4)) ?
The value of arccos(cos((-5pi)/4)) is (3pi)/4