What is the value of arcsin(sin((18pi)/7)) ?

The value of arcsin(sin((18pi)/7)) is (3pi)/7

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arcsin(sin((18pi)/7))

arcsin (sin (\frac{18 π}{7}))

\frac{3 π}{7}

Decimal Notation

77.14

Solution steps

arcsin (sin (\frac{18 π}{7}))

Use the inverse trig property:

\frac{3 π}{7}

arcsin (sin (\frac{18 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{18 π}{7}) = sin (\frac{4 π}{7})

sin (\frac{18 π}{7})

sin (x + 2 π \cdot k) = sin (x)

= sin (\frac{18 π}{7} - 1 \cdot 2 π)

= sin (\frac{4 π}{7})

= arcsin (sin (\frac{4 π}{7}))

Rewrite using trig identities:

sin (\frac{18 π}{7}) = sin (\frac{3 π}{7})

sin (\frac{18 π}{7})

sin (x) = sin (π - (x))

= sin (π - \frac{4 π}{7})

= sin (\frac{3 π}{7})

= arcsin (sin (\frac{3 π}{7}))

- \frac{π}{2} \leq \frac{3 π}{7} \leq \frac{π}{2}

= \frac{3 π}{7}

= \frac{3 π}{7}

arccos (\frac{50}{86})

- 4 cos (\frac{1}{2}) (π - \frac{π}{2})

cot (11 5^{\circ})

\frac{1 + cos ( 6 0 ^{\circ} )}{2}

2 sin (2 1^{\circ}) cos (2 1^{\circ})

What is the value of arcsin(sin((18pi)/7)) ?
The value of arcsin(sin((18pi)/7)) is (3pi)/7