What is the value of sin(arccos(-1/2)) ?

The value of sin(arccos(-1/2)) is (sqrt(3))/2

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

sin(arccos(-1/2))

sin (arccos (- \frac{1}{2}))

\frac{3}{2}

Decimal Notation

0.86602 \dots

Solution steps

sin (arccos (- \frac{1}{2}))

Rewrite using trig identities:

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

Use the following identity:

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

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

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

Simplify

= \frac{3}{2}

arccot (3)

cos (\frac{π}{4}) - sin (\frac{π}{4})

arcsin (cos (\frac{4 π}{3}))

200 cos (6 0^{\circ})

arccos (tan (\frac{3 π}{4}))

What is the value of sin(arccos(-1/2)) ?
The value of sin(arccos(-1/2)) is (sqrt(3))/2