What is sqrt(9sec^2(x)-9) ?

The solution to sqrt(9sec^2(x)-9) is 3sqrt(tan^2(x))

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simplify sqrt(9sec^2(x)-9)

simplify

9 sec^{2} (x) - 9

3 tan^{2} (x)

Solution steps

9 sec^{2} (x) - 9

Factor

9 sec^{2} (x) - 9 : 9 (sec^{2} (x) - 1)

= 9 (sec^{2} (x) - 1)

Apply radical rule:

assuming

a \geq 0, b \geq 0

= 9 sec^{2} (x) - 1

9 = 3

= 3 sec^{2} (x) - 1

Rewrite using trig identities

= 3 tan^{2} (x)

sin (- 3 θ)

- cos (x + \frac{π}{6})

tan (- cot (a))

cos (nπ - π)

cot (4 5^{\circ} - \frac{x}{2})

What is sqrt(9sec^2(x)-9) ?
The solution to sqrt(9sec^2(x)-9) is 3sqrt(tan^2(x))