What is sqrt(36sec^2(x)-36) ?

The solution to sqrt(36sec^2(x)-36) is 6sqrt(tan^2(x))

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simplify sqrt(36sec^2(x)-36)

simplify

36 sec^{2} (x) - 36

6 tan^{2} (x)

Solution steps

36 sec^{2} (x) - 36

Factor

36 sec^{2} (x) - 36 : 36 (sec^{2} (x) - 1)

= 36 (sec^{2} (x) - 1)

Apply radical rule:

assuming

a \geq 0, b \geq 0

= 36 sec^{2} (x) - 1

36 = 6

= 6 sec^{2} (x) - 1

Rewrite using trig identities

= 6 tan^{2} (x)

\frac{2 x}{sin ( x )} + 1 - π

- e^{- π} sin (nπ) - e^{π} sin (nπ)

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

4 cos (t - 2 π)

cos (a r cos (- \frac{1}{2}))

What is sqrt(36sec^2(x)-36) ?
The solution to sqrt(36sec^2(x)-36) is 6sqrt(tan^2(x))