What is sin(arctan(x)+arccos(0)) ?

The solution to sin(arctan(x)+arccos(0)) is (sqrt(1+x^2))/(1+x^2)

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simplify sin(arctan(x)+arccos(0))

simplify

sin (arctan (x) + arccos (0))

\frac{1 + x ^{2}}{1 + x ^{2}}

Solution steps

sin (arctan (x) + arccos (0))

Rewrite using trig identities

= cos (arctan (x))

Use the following identity:

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

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

- cos (x - π)

2 cos (\frac{π}{4} - x)

sec (x - \frac{π}{2})

sec (arcsec (\frac{x}{4}))

sin^{2} (- cos^{2} (a))

What is sin(arctan(x)+arccos(0)) ?
The solution to sin(arctan(x)+arccos(0)) is (sqrt(1+x^2))/(1+x^2)