Question

Find the exact value of sin(arctan(2)). For full credit, explain your reasoning.
Can you help me step by step? Thanks

Answer 1

substitute A=ArcTan(2)

Answer 2

Is "A" theta?

Answer 3

in radians

Answer 4

Wait, so A is sin?

Answer 5

A= ArcTan(2), that implies Tan A=2 right? Now you have to find Sin (ArcTan (2)) which is the same as Sin A. Youknow what Tan A is.

Answer 6

hyp = square root of 5

Answer 7

sin a = (2/square root of 5)

Answer 8

Is my final answer (2/square root of 5)

Answer 9

I don't understand how you went from sin(arctan(2)) to A= ArcTan(2)