What is the value of arcsin(cos(-pi/6)) ?

The value of arcsin(cos(-pi/6)) is pi/2--pi/6

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arcsin(cos(-pi/6))

arcsin (cos (- \frac{π}{6}))

\frac{π}{2} - - \frac{π}{6}

Decimal Notation

60

Solution steps

arcsin (cos (- \frac{π}{6}))

Rewrite using trig identities:

cos (- \frac{π}{6}) = sin (\frac{π}{2} - - \frac{π}{6})

cos (- \frac{π}{6})

sin (\frac{π}{2} - x) = cos (x)

= sin (\frac{π}{2} - - \frac{π}{6})

= arcsin (sin (\frac{π}{2} - - \frac{π}{6}))

Use the inverse trig property:

\frac{π}{2} - - \frac{π}{6}

arcsin (sin (\frac{π}{2} - - \frac{π}{6}))

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}{6} \leq \frac{π}{2}

= \frac{π}{2} - - \frac{π}{6}

= \frac{π}{2} - - \frac{π}{6}

\frac{tan ( 10 0 ^{\circ} ) - tan ( - 2 0 ^{\circ} )}{1 + tan ( 10 0 ^{\circ} ) tan ( - 2 0 ^{\circ} )}

sin (2 (4 0^{\circ}))

sin (25. 1^{\circ})

4 (cos (6 0^{\circ}))

sin (67 \frac{1}{2})

What is the value of arcsin(cos(-pi/6)) ?
The value of arcsin(cos(-pi/6)) is pi/2--pi/6