What is the value of arcsin(sin(-(3pi)/4)) ?

The value of arcsin(sin(-(3pi)/4)) is -pi/4

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arcsin(sin(-(3pi)/4))

arcsin (sin (- \frac{3 π}{4}))

- \frac{π}{4}

Decimal Notation

- 45

Solution steps

arcsin (sin (- \frac{3 π}{4}))

Use the inverse trig property:

- \frac{π}{4}

arcsin (sin (- \frac{3 π}{4}))

For

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

Rewrite using trig identities:

sin (- \frac{3 π}{4}) = sin (- \frac{π}{4})

sin (- \frac{3 π}{4})

sin (x) = sin (π - (x))

= sin (\frac{3 π}{4} - π)

= sin (- \frac{π}{4})

= arcsin (sin (- \frac{π}{4}))

- \frac{π}{2} \leq - \frac{π}{4} \leq \frac{π}{2}

= - \frac{π}{4}

= - \frac{π}{4}

30 \cdot cos (4 5^{\circ})

sin (\frac{9}{4} π)

cos (arctan (- \frac{3}{4}))

cos (1 0^{\circ}) cos (2 0^{\circ}) - sin (1 0^{\circ}) sin (2 0^{\circ})

arccos (- 0.92761)

What is the value of arcsin(sin(-(3pi)/4)) ?
The value of arcsin(sin(-(3pi)/4)) is -pi/4