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

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

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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) = cos (2 π - (x))

= cos (2 π - \frac{3 π}{2})

= cos (\frac{π}{2})

= arccos (cos (\frac{π}{2}))

0 \leq \frac{π}{2} \leq π

= \frac{π}{2}

= \frac{π}{2}

sec (\frac{10 π}{3})

arcsin (9)

sin (14 0^{\circ})

cos (1 9^{\circ})

sin (\frac{7 π}{6} - \frac{π}{3})

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