What is cos(arctan(7x^3)) ?

The solution to cos(arctan(7x^3)) is (sqrt(1+49x^6))/(1+49x^6)

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simplify cos(arctan(7x^3))

simplify

cos (arctan (7 x^{3}))

\frac{1 + 49 x ^{6}}{1 + 49 x ^{6}}

Solution steps

cos (arctan (7 x^{3}))

Use the following identity:

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

= \frac{1 + ( 7 x ^{3} ) ^{2}}{1 + ( 7 x ^{3} ) ^{2}}

Simplify

= \frac{1 + 49 x ^{6}}{1 + 49 x ^{6}}

\frac{1}{csc ^{2} ( x ) - 1}

cos (x - \frac{11 π}{6})

cos (2 θ - \frac{π}{4})

a sin (- \frac{1}{2} ka)

2 sin (2 x - \frac{π}{6}) + 2

What is cos(arctan(7x^3)) ?
The solution to cos(arctan(7x^3)) is (sqrt(1+49x^6))/(1+49x^6)