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

The value of cos(arcsin((-sqrt(3))/2)) is 1/2

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

cos(arcsin((-sqrt(3))/2))

cos (arcsin (\frac{- 3}{2}))

\frac{1}{2}

Decimal Notation

0.5

Solution steps

cos (arcsin (\frac{- 3}{2}))

Rewrite using trig identities:

cos (arcsin (\frac{- 3}{2})) = 1 - (\frac{- 3}{2})^{2}

Use the following identity:

cos (arcsin (x)) = 1 - x^{2}

= 1 - (\frac{- 3}{2})^{2}

= 1 - (\frac{- 3}{2})^{2}

Simplify

= \frac{1}{2}

sin (4 5^{\circ}) + cos (4 5^{\circ}) + tan (4 5^{\circ})

cos (\frac{5}{4})

- 4 cos (\frac{π}{6})

sin (\frac{π}{2} - \frac{π}{4})

tan (- \frac{8 π}{3})

What is the value of cos(arcsin((-sqrt(3))/2)) ?
The value of cos(arcsin((-sqrt(3))/2)) is 1/2