What is sqrt(25+25tan^2(x)) ?

The solution to sqrt(25+25tan^2(x)) is 5sqrt(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(25+25tan^2(x))

simplify

25 + 25 tan^{2} (x)

5 sec^{2} (x)

Solution steps

25 + 25 tan^{2} (x)

Factor

25 + 25 tan^{2} (x) : 25 (1 + tan^{2} (x))

= 25 (1 + tan^{2} (x))

Apply radical rule:

assuming

a \geq 0, b \geq 0

= 25 tan^{2} (x) + 1

25 = 5

= 5 tan^{2} (x) + 1

Rewrite using trig identities

= 5 sec^{2} (x)

sin (\frac{x}{2} - \frac{π}{2})

cos (arctan (\frac{- 1}{m g}))

sin (arcsin (a x))

4 sin (12 0^{\circ} - x)

2 tan (x - \frac{π}{4}) - 2

What is sqrt(25+25tan^2(x)) ?
The solution to sqrt(25+25tan^2(x)) is 5sqrt(sec^2(x))