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

The value of arcsin(cos(pi/7)) is (5pi)/(14)

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arcsin(cos(pi/7))

arcsin (cos (\frac{π}{7}))

\frac{5 π}{14}

Decimal Notation

64.29

Solution steps

arcsin (cos (\frac{π}{7}))

Rewrite using trig identities:

cos (\frac{π}{7}) = sin (\frac{5 π}{14})

cos (\frac{π}{7})

sin (\frac{π}{2} - x) = cos (x)

= sin (\frac{π}{2} - \frac{π}{7})

= sin (\frac{5 π}{14})

= arcsin (sin (\frac{5 π}{14}))

Use the inverse trig property:

\frac{5 π}{14}

arcsin (sin (\frac{5 π}{14}))

For

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

- \frac{π}{2} \leq \frac{5 π}{14} \leq \frac{π}{2}

= \frac{5 π}{14}

= \frac{5 π}{14}

sec (- 66 0^{\circ})

arctan (\frac{14}{29})

1 - sin (π)

sin (\frac{5}{12} π)

arccos (\frac{3}{4})

What is the value of arcsin(cos(pi/7)) ?
The value of arcsin(cos(pi/7)) is (5pi)/(14)