What is sin(2pi-arccos(w)) ?

The solution to sin(2pi-arccos(w)) is -sqrt(1-w^2)

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

simplify sin(2pi-arccos(w))

simplify

sin (2 π - arccos (w))

- 1 - w^{2}

Solution steps

sin (2 π - arccos (w))

Rewrite using trig identities

= - sin (arccos (w))

Use the following identity:

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

= - 1 - w^{2}

cos (α - 3 0^{\circ})

sin (\frac{5 π}{6} + x)

9 tan^{2} (a) + 9

cos (arctan (\frac{x}{9}))

- 3 cos (\frac{1}{2} x - 2 π)