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

The value of arccos(sin((2pi)/3)) is pi/6

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arccos(sin((2pi)/3))

arccos (sin (\frac{2 π}{3}))

\frac{π}{6}

Solution steps

arccos (sin (\frac{2 π}{3}))

Rewrite using trig identities:

sin (\frac{2 π}{3}) = sin (\frac{π}{3})

= arccos (sin (\frac{π}{3}))

Rewrite using trig identities:

sin (\frac{π}{3}) = cos (\frac{π}{6})

= arccos (cos (\frac{π}{6}))

Use the inverse trig property:

\frac{π}{6}

= \frac{π}{6}

sin^{2} (0.5)

arctan (\frac{2 π}{3})

arcsin (\frac{5}{3})

tan (\frac{14 π}{3})

4 sin (4)

What is the value of arccos(sin((2pi)/3)) ?
The value of arccos(sin((2pi)/3)) is pi/6