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

The value of arcsin(cos(-pi/4)) is pi/2--pi/4

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arcsin(cos(-pi/4))

arcsin (cos (- \frac{π}{4}))

\frac{π}{2} - - \frac{π}{4}

Decimal Notation

45

Solution steps

arcsin (cos (- \frac{π}{4}))

Rewrite using trig identities:

cos (- \frac{π}{4}) = sin (\frac{π}{2} - - \frac{π}{4})

cos (- \frac{π}{4})

sin (\frac{π}{2} - x) = cos (x)

= sin (\frac{π}{2} - - \frac{π}{4})

= arcsin (sin (\frac{π}{2} - - \frac{π}{4}))

Use the inverse trig property:

\frac{π}{2} - - \frac{π}{4}

arcsin (sin (\frac{π}{2} - - \frac{π}{4}))

For

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

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

= \frac{π}{2} - - \frac{π}{4}

= \frac{π}{2} - - \frac{π}{4}

arccos (\frac{1}{4})

e^{\frac{5 π}{4}} cos (\frac{5 π}{4})

cot^{2} (\frac{π}{6})

sec (- 48 0^{\circ})

arcsin (cos (1))

What is the value of arcsin(cos(-pi/4)) ?
The value of arcsin(cos(-pi/4)) is pi/2--pi/4