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

The value of cos(arcsin(-2/3)) is (sqrt(5))/3

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

cos(arcsin(-2/3))

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

\frac{5}{3}

Decimal Notation

0.74535 \dots

Solution steps

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

Rewrite using trig identities:

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

Use the following identity:

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

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

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

Simplify

= \frac{5}{3}

\frac{67}{tan ( 4 2 ^{\circ} )}

19 sin (2 8^{\circ})

cos (2) (150)

sin (arcsin (0.6))

arccos (0.05)

What is the value of cos(arcsin(-2/3)) ?
The value of cos(arcsin(-2/3)) is (sqrt(5))/3