What is the value of sin(arccos(2/3)) ?

The value of sin(arccos(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 >

sin(arccos(2/3))

sin (arccos (\frac{2}{3}))

\frac{5}{3}

Decimal Notation

0.74535 \dots

Solution steps

sin (arccos (\frac{2}{3}))

Rewrite using trig identities:

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

Use the following identity:

sin (arccos (x)) = 1 - x^{2}

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

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

Simplify

= \frac{5}{3}

cos (9 π)

sec (- \frac{5 π}{4})

sin (2) (\frac{π}{2})

sin (2 (\frac{π}{2}))

cot (- 12 0^{\circ})

What is the value of sin(arccos(2/3)) ?
The value of sin(arccos(2/3)) is (sqrt(5))/3