What is the value of arcsin(sin((9pi)/(10))) ?

The value of arcsin(sin((9pi)/(10))) is pi/(10)

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arcsin(sin((9pi)/(10)))

arcsin (sin (\frac{9 π}{10}))

\frac{π}{10}

Decimal Notation

18

Solution steps

arcsin (sin (\frac{9 π}{10}))

Use the inverse trig property:

\frac{π}{10}

arcsin (sin (\frac{9 π}{10}))

For

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

Rewrite using trig identities:

sin (\frac{9 π}{10}) = sin (\frac{π}{10})

sin (\frac{9 π}{10})

sin (x) = sin (π - (x))

= sin (π - \frac{9 π}{10})

= sin (\frac{π}{10})

= arcsin (sin (\frac{π}{10}))

- \frac{π}{2} \leq \frac{π}{10} \leq \frac{π}{2}

= \frac{π}{10}

= \frac{π}{10}

arccos (1.25)

tan (arccos (0))

cot (1.5)

tan (6 0^{\circ}) \cdot 5

20 cos (1 5^{\circ})

What is the value of arcsin(sin((9pi)/(10))) ?
The value of arcsin(sin((9pi)/(10))) is pi/(10)