What is the value of arcsin(sin((6pi)/7)) ?

The value of arcsin(sin((6pi)/7)) is pi/7

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arcsin(sin((6pi)/7))

arcsin (sin (\frac{6 π}{7}))

\frac{π}{7}

Decimal Notation

25.71

Solution steps

arcsin (sin (\frac{6 π}{7}))

Use the inverse trig property:

\frac{π}{7}

arcsin (sin (\frac{6 π}{7}))

For

- \frac{π}{2} \leq x \leq \frac{π}{2}, a rcs in (s in (x)) = x

Rewrite using trig identities:

sin (\frac{6 π}{7}) = sin (\frac{π}{7})

sin (\frac{6 π}{7})

sin (x) = sin (π - (x))

= sin (π - \frac{6 π}{7})

= sin (\frac{π}{7})

= arcsin (sin (\frac{π}{7}))

- \frac{π}{2} \leq \frac{π}{7} \leq \frac{π}{2}

= \frac{π}{7}

= \frac{π}{7}

arcsin (cos (\frac{3 π}{4}))

sin (7 5^{\circ}) - sin (1 5^{\circ})

sin (5 1^{\circ})

csc (- \frac{5 π}{4})

sin (arccos (\frac{4}{5}))

What is the value of arcsin(sin((6pi)/7)) ?
The value of arcsin(sin((6pi)/7)) is pi/7