What is sqrt(36tan^2(x)+36) ?

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

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simplify sqrt(36tan^2(x)+36)

simplify

36 tan^{2} (x) + 36

6 sec (x)

Solution steps

36 tan^{2} (x) + 36

Factor

36 tan^{2} (x) + 36 : 36 (tan^{2} (x) + 1)

= 36 (tan^{2} (x) + 1)

Apply radical rule:

assuming

a \geq 0, b \geq 0

= 36 tan^{2} (x) + 1

36 = 6

= 6 tan^{2} (x) + 1

Use the Pythagorean identity:

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

= 6 sec^{2} (x)

sec^{2} (x) = sec (x)

= 6 sec (x)

cos (arcsin (\frac{1}{n}))

cot (- y)

a rco tan (\frac{- 107.2}{311.5})

cos (\frac{1}{x} + 3 π)

tan (nπ + θ)