What is the value of arcsin(cos(-(5pi)/6)) ?

The value of arcsin(cos(-(5pi)/6)) is pi/2--(5pi)/6

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

arcsin(cos(-(5pi)/6))

arcsin (cos (- \frac{5 π}{6}))

\frac{π}{2} - - \frac{5 π}{6}

Decimal Notation

- 60

Solution steps

arcsin (cos (- \frac{5 π}{6}))

Rewrite using trig identities:

cos (- \frac{5 π}{6}) = sin (\frac{π}{2} - - \frac{5 π}{6})

cos (- \frac{5 π}{6})

sin (\frac{π}{2} - x) = cos (x)

= sin (\frac{π}{2} - - \frac{5 π}{6})

= arcsin (sin (\frac{π}{2} - - \frac{5 π}{6}))

Use the inverse trig property:

\frac{π}{2} - - \frac{5 π}{6}

arcsin (sin (\frac{π}{2} - - \frac{5 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{5 π}{6} \leq \frac{π}{2}

= \frac{π}{2} - - \frac{5 π}{6}

= \frac{π}{2} - - \frac{5 π}{6}

tan (arctan (π))

cos (\frac{π}{6}) + i sin (\frac{π}{6})

sin (- \frac{19 π}{6})

sin (\frac{π}{8} + \frac{π}{12})

cos^{2} (5 5^{\circ})

What is the value of arcsin(cos(-(5pi)/6)) ?
The value of arcsin(cos(-(5pi)/6)) is pi/2--(5pi)/6