What is sqrt(1-(cos(t+C))^2) ?

The solution to sqrt(1-(cos(t+C))^2) is sin(C+t)

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

simplify sqrt(1-(cos(t+C))^2)

simplify

1 - (cos (t + C))^{2}

sin (C + t)

Solution steps

1 - cos^{2} (t + C)

Use the Pythagorean identity:

1 = cos^{2} (x) + sin^{2} (x)

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

= sin^{2} (C + t)

Apply radical rule:

assuming

a \geq 0

= sin (C + t)

sin (arcsin (a))

csc (arccos (\frac{x}{2}))

cos (9 0^{\circ} - (19 x - 74))

cos (\frac{π}{6} - x)

\frac{d x}{sin ^{2} ( x )}