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

The value of cos(2arcsin((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(2arcsin((sqrt(3))/2))

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

- \frac{1}{2}

Solution steps

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

Rewrite using trig identities:

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

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

Rewrite using trig identities:

sin (arcsin (\frac{3}{2})) = \frac{3}{2}

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

Simplify

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

= - \frac{1}{2}

tan^{2} (4 5^{\circ} + 1 5^{\circ})

arctan (\frac{2.5}{6})

arctan (\frac{9}{17})

arctan (\frac{9}{14})

2 cos (0) - 1

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