What is sqrt(49tan^2(x)+49) ?

The solution to sqrt(49tan^2(x)+49) is 7sqrt(sec^2(x))

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simplify sqrt(49tan^2(x)+49)

simplify

49 tan^{2} (x) + 49

7 sec^{2} (x)

Solution steps

49 tan^{2} (x) + 49

Factor

49 tan^{2} (x) + 49 : 49 (tan^{2} (x) + 1)

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

Apply radical rule:

assuming

a \geq 0, b \geq 0

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

49 = 7

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

Rewrite using trig identities

= 7 sec^{2} (x)

- sin (27 0^{\circ} - x)

\frac{d v}{cot ( v )}

\frac{2}{n ^{2} π} cos (n - π)

cos (arctan (\frac{d}{a}))

tan (\frac{π}{4} - \frac{x}{2})

What is sqrt(49tan^2(x)+49) ?
The solution to sqrt(49tan^2(x)+49) is 7sqrt(sec^2(x))