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

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

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

- \frac{3}{2}

Solution steps

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

Rewrite using trig identities:

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

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

Rewrite using trig identities:

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

Rewrite using trig identities:

cos (arccos (- \frac{3}{2})) = - \frac{3}{2}

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

Simplify

2 \cdot \frac{1}{2} (- \frac{3}{2}) : - \frac{3}{2}

= - \frac{3}{2}

- 2 sin (2 (0))

cot (33.6 9^{\circ})

arctan (\frac{8}{0})

cot (\frac{3 π}{5})

arccos (\frac{12}{129 \cdot 29})

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