What is sqrt(4-4*sin^2(x)) ?

The solution to sqrt(4-4*sin^2(x)) is 2sqrt(cos^2(x))

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

simplify sqrt(4-4*sin^2(x))

simplify

4 - 4 \cdot sin^{2} (x)

2 cos^{2} (x)

Solution steps

4 - 4 sin^{2} (x)

Factor

4 - 4 sin^{2} (x) : 4 (1 - sin^{2} (x))

= 4 (1 - sin^{2} (x))

Apply radical rule:

assuming

a \geq 0, b \geq 0

= 4 - sin^{2} (x) + 1

4 = 2

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

Rewrite using trig identities

= 2 cos^{2} (x)

tan (arcsec (\frac{x}{9}))

2 sin (x) - cos (9 0^{\circ} - x)

sin (arccos (13 x))

sin (18 0^{\circ} + α)

\frac{e ^{- x}}{sin ( y )}

What is sqrt(4-4*sin^2(x)) ?
The solution to sqrt(4-4*sin^2(x)) is 2sqrt(cos^2(x))