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

1 Answer
Leland Adriano Alejandro
Jul 31, 2016

#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)#

God bless....I hope the explanation is useful.

Related questions
See all questions in Basic Inverse Trigonometric Functions
Impact of this question
191232 views around the world
You can reuse this answer
Creative Commons License