What is cos(arctan(3w)) ?

The solution to cos(arctan(3w)) is (sqrt(1+9w^2))/(1+9w^2)

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simplify cos(arctan(3w))

simplify

cos (arctan (3 w))

\frac{1 + 9 w ^{2}}{1 + 9 w ^{2}}

Solution steps

cos (arctan (3 w))

Use the following identity:

cos (arctan (x)) = \frac{1 + x ^{2}}{1 + x ^{2}}

= \frac{1 + ( 3 w ) ^{2}}{1 + ( 3 w ) ^{2}}

Simplify

= \frac{1 + 9 w ^{2}}{1 + 9 w ^{2}}

sin (- 1 (2 x - 1))

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cos (x + 20000 π)

cos (arctan (\frac{D}{C}))

cos (4 π x + \frac{π}{4})

What is cos(arctan(3w)) ?
The solution to cos(arctan(3w)) is (sqrt(1+9w^2))/(1+9w^2)