How do you simplify the expression sin(arctan x)?

1 Answer

sin(arctan x)=x/(+-sqrt(x^2+1))

Explanation:

The solution:

arctan x is an angle whose tangent function =x/1

Considering the sides of the right triangle. We have opposite side =x, adjacent side =1 and hypotenuse =sqrt(x^2+1)

Therefore the sine of this angle =("opposite side")/("hypotenuse")=x/sqrt(x^2+1)

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