What is sqrt(4sec^2(x)-4) ?

The solution to sqrt(4sec^2(x)-4) is 2sqrt(tan^2(x))

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

simplify sqrt(4sec^2(x)-4)

simplify

4 sec^{2} (x) - 4

2 tan^{2} (x)

Solution steps

4 sec^{2} (x) - 4

Factor

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

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

Apply radical rule:

assuming

a \geq 0, b \geq 0

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

4 = 2

= 2 sec^{2} (x) - 1

Rewrite using trig identities

= 2 tan^{2} (x)

cot (arccos (\frac{x}{8}))

2 cos (π + x)

sin (arctan (θ))

cot (π + x)

sin (arcsin (x) + \frac{π}{6})

What is sqrt(4sec^2(x)-4) ?
The solution to sqrt(4sec^2(x)-4) is 2sqrt(tan^2(x))