What is sec(arctan(6x)) ?

The solution to sec(arctan(6x)) is sqrt(1+36x^2)

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simplify sec(arctan(6x))

simplify

sec (arctan (6 x))

1 + 36 x^{2}

Solution steps

sec (arctan (6 x))

Use the following identity:

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

= 1 + (6 x)^{2}

Simplify

= 1 + 36 x^{2}

cos (arcsin (\frac{y}{x}))

sin (\frac{3 π}{10} (- x))

cos (4 5^{\circ} + θ)

cos (- π t + π)

(sin (t - \frac{π}{6}))^{2}