What is the value of arcsin(sin((13pi)/(10))) ?

The value of arcsin(sin((13pi)/(10))) is -(3pi)/(10)

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arcsin(sin((13pi)/(10)))

arcsin (sin (\frac{13 π}{10}))

- \frac{3 π}{10}

Decimal Notation

- 54

Solution steps

arcsin (sin (\frac{13 π}{10}))

Use the inverse trig property:

- \frac{3 π}{10}

arcsin (sin (\frac{13 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{13 π}{10}) = sin (- \frac{3 π}{10})

sin (\frac{13 π}{10})

sin (x) = sin (π - (x))

= sin (π - \frac{13 π}{10})

= sin (- \frac{3 π}{10})

= arcsin (sin (- \frac{3 π}{10}))

- \frac{π}{2} \leq - \frac{3 π}{10} \leq \frac{π}{2}

= - \frac{3 π}{10}

= - \frac{3 π}{10}

cos^{3} (5.6)

sin (\frac{7}{10})

2 (cos (2 (0)))

cos (- \frac{3 π}{10})

sin (32. 2^{\circ})

What is the value of arcsin(sin((13pi)/(10))) ?
The value of arcsin(sin((13pi)/(10))) is -(3pi)/(10)