What is the value of arcsin(sin((11pi)/6)) ?

The value of arcsin(sin((11pi)/6)) is -pi/6

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arcsin(sin((11pi)/6))

arcsin (sin (\frac{11 π}{6}))

- \frac{π}{6}

Decimal Notation

- 30

Solution steps

arcsin (sin (\frac{11 π}{6}))

Use the inverse trig property:

- \frac{π}{6}

arcsin (sin (\frac{11 π}{6}))

For

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

Rewrite using trig identities:

sin (\frac{11 π}{6}) = sin (- \frac{π}{6})

sin (\frac{11 π}{6})

sin (x + 2 π \cdot k) = sin (x)

= sin (\frac{11 π}{6} - 1 \cdot 2 π)

= sin (- \frac{π}{6})

= arcsin (sin (- \frac{π}{6}))

- \frac{π}{2} \leq - \frac{π}{6} \leq \frac{π}{2}

= - \frac{π}{6}

= - \frac{π}{6}

tan (\frac{11 π}{4})

- cos (\frac{3 π}{2})

sin (arccos (0))

tan (5 9^{\circ})

sin (7 3^{\circ})

What is the value of arcsin(sin((11pi)/6)) ?
The value of arcsin(sin((11pi)/6)) is -pi/6