What is sqrt(7^2+(-7tan(t))^2) ?

The solution to sqrt(7^2+(-7tan(t))^2) is 7sqrt(sec^2(t))

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

simplify sqrt(7^2+(-7tan(t))^2)

simplify

7^{2} + (- 7 tan (t))^{2}

7 sec^{2} (t)

Solution steps

7^{2} + (- 7 tan (t))^{2}

(- 7 tan (t))^{2} = 7^{2} tan^{2} (t)

= 7^{2} + 7^{2} tan^{2} (t)

Factor

7^{2} + 7^{2} tan^{2} (t) : 49 (1 + tan^{2} (t))

= 49 (1 + tan^{2} (t))

Apply radical rule:

assuming

a \geq 0, b \geq 0

= 49 tan^{2} (t) + 1

49 = 7

= 7 tan^{2} (t) + 1

Rewrite using trig identities

= 7 sec^{2} (t)

tan (x - π) + 2 sin (x - π)

cos (3 π - x)

tan (\frac{π}{2} - 2 x)

cos^{2} (5 x + \frac{π}{3})

\frac{1}{tan ( \frac{π}{2} - x )}

What is sqrt(7^2+(-7tan(t))^2) ?
The solution to sqrt(7^2+(-7tan(t))^2) is 7sqrt(sec^2(t))