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

The value of arcsin(cos(-pi/3)) is pi/2--pi/3

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

arcsin(cos(-pi/3))

arcsin (cos (- \frac{π}{3}))

\frac{π}{2} - - \frac{π}{3}

Decimal Notation

30

Solution steps

arcsin (cos (- \frac{π}{3}))

Rewrite using trig identities:

cos (- \frac{π}{3}) = sin (\frac{π}{2} - - \frac{π}{3})

cos (- \frac{π}{3})

sin (\frac{π}{2} - x) = cos (x)

= sin (\frac{π}{2} - - \frac{π}{3})

= arcsin (sin (\frac{π}{2} - - \frac{π}{3}))

Use the inverse trig property:

\frac{π}{2} - - \frac{π}{3}

arcsin (sin (\frac{π}{2} - - \frac{π}{3}))

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}{3} \leq \frac{π}{2}

= \frac{π}{2} - - \frac{π}{3}

= \frac{π}{2} - - \frac{π}{3}

cos (\frac{2 π}{7}) + sin (\frac{2 π}{7})

arccos (\frac{20}{25})

3 \cdot sin (\frac{π}{3})

8.2 tan (4 2^{\circ})

cos (2 \frac{π}{6})

What is the value of arcsin(cos(-pi/3)) ?
The value of arcsin(cos(-pi/3)) is pi/2--pi/3