What is cos(arctan(x/7)) ?

The solution to cos(arctan(x/7)) is (7sqrt(49+x^2))/(49+x^2)

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simplify cos(arctan(x/7))

simplify

cos (arctan (\frac{x}{7}))

\frac{7 49 + x ^{2}}{49 + x ^{2}}

Solution steps

cos (arctan (\frac{x}{7}))

Use the following identity:

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

= \frac{1 + ( \frac{x}{7} ) ^{2}}{1 + ( \frac{x}{7} ) ^{2}}

Simplify

= \frac{7 49 + x ^{2}}{49 + x ^{2}}

- cos (2 πn) + cos (πn)

csc (18 0^{\circ} - x)

49 (1 - sin^{2} (θ))

cos (6 0^{\circ} + X)

cot (\frac{π}{2} - u)

What is cos(arctan(x/7)) ?
The solution to cos(arctan(x/7)) is (7sqrt(49+x^2))/(49+x^2)