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

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

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arccos(cos(-(3pi)/4))

arccos (cos (- \frac{3 π}{4}))

\frac{3 π}{4}

Decimal Notation

135

Solution steps

arccos (cos (- \frac{3 π}{4}))

Use the following property:

cos (- x) = cos (x)

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

= arccos (cos (\frac{3 π}{4}))

Use the inverse trig property:

\frac{3 π}{4}

arccos (cos (\frac{3 π}{4}))

For

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

0 \leq \frac{3 π}{4} \leq π

= \frac{3 π}{4}

= \frac{3 π}{4}

ln (7.5 + 1) + sin (7.5)

20 sin (\frac{1}{2} π (1.7) - π (2.2))

- cos (4)

tan (0) - 0

sec (\frac{5 π}{8})

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