Question

How do you evaluate `sin(arctan(2))`?

Answer 1

Call x the `(arc(tan 2))`. Calculator gives:

tan x = 2 --> `x = 63.43 deg`

The trig unit circle gives another arc x that has the same tan value:

x = 63.43 + 180 = `243.43 deg`

a. `sin x = sin (63,43) = 0.89`

b. `sin x = sin (243.43) = -sin (63.43) = -0.89`