What is cos(arctan(sqrt(x))) ?

The solution to cos(arctan(sqrt(x))) is (sqrt(1+x))/(1+x)

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simplify cos(arctan(sqrt(x)))

simplify

cos (arctan (x))

\frac{1 + x}{1 + x}

Solution steps

cos (arctan (x))

Use the following identity:

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

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

Simplify

= \frac{1 + x}{1 + x}

sin (arccos (\frac{c}{x}))

sin (- x) sin (9 x)

(a sec (θ))^{2} - a^{2}

csc (0.5582 x + \frac{π}{2}) + 3.5

- sin (θ + 9 0^{\circ})

What is cos(arctan(sqrt(x))) ?
The solution to cos(arctan(sqrt(x))) is (sqrt(1+x))/(1+x)