What is the value of arcsin(cos((3pi)/5)) ?

The value of arcsin(cos((3pi)/5)) is -pi/(10)

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

arcsin(cos((3pi)/5))

arcsin (cos (\frac{3 π}{5}))

- \frac{π}{10}

Decimal

- 18

Solution steps

arcsin (cos (\frac{3 π}{5}))

Rewrite using trig identities:

cos (\frac{3 π}{5}) = sin (- \frac{π}{10})

cos (\frac{3 π}{5})

sin (\frac{π}{2} - x) = cos (x)

= sin (\frac{π}{2} - \frac{3 π}{5})

= sin (- \frac{π}{10})

= arcsin (sin (- \frac{π}{10}))

Use the inverse trig property:

- \frac{π}{10}

arcsin (sin (- \frac{π}{10}))

For

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

- \frac{π}{2} \leq - \frac{π}{10} \leq \frac{π}{2}

= - \frac{π}{10}

= - \frac{π}{10}

What is the value of arcsin(cos((3pi)/5)) ?
The value of arcsin(cos((3pi)/5)) is -pi/(10)