What is sqrt(4tan^2(x)+4) ?

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

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

simplify sqrt(4tan^2(x)+4)

simplify

4 tan^{2} (x) + 4

2 sec^{2} (x)

Solution steps

4 tan^{2} (x) + 4

Factor

4 tan^{2} (x) + 4 : 4 (tan^{2} (x) + 1)

= 4 (tan^{2} (x) + 1)

Apply radical rule:

assuming

a \geq 0, b \geq 0

= 4 tan^{2} (x) + 1

4 = 2

= 2 tan^{2} (x) + 1

Rewrite using trig identities

= 2 sec^{2} (x)

sec (arctan (u))

sin^{2} (\frac{π}{2} - x)

cos (π - πn)

sin (y + π)

- cos (3 - πn)

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