Question

Solve sin(arctan(-1/7))

Answer 1

-.1414

Answer 2

And how to do it?

Answer 3

type it in the calculator

Answer 4

I need to show the work.

Answer 5

arctan(-x) = -arc(tanx)

Answer 6

arc sin(-x) = - arc(sin x)

Answer 7

sin(-x) = -sinx

Answer 8

sin(arctan(-1/7))= sin(- arc(tan1/7)) = - sin arc tan/7= - sin arc sin 1/sqrt(50)= -1/sqrt50

Answer 9

sin(arctan(-1/7))= sin(- arc(tan1/7)) = - sin arc tan1/7= - sin arc sin 1/sqrt(50)= -1/sqrt50

Answer 10

Where from do you get sqrt50?

Answer 11

arc tanx = arc sin(1/sqrt(1+x^2))

Answer 12

Oh, okay. Thanks!

Answer 13

:)