Question

15 Points!

Find the exact value of the composition.

sin (arctan (2))

A) 2√5 / 5

B) 5√2

C) 2√5

D) 5√2 / 2

Answer 1

A is the answer!!!!!!!!!!!!!!!!

Answer 2

Focus on arctan 2 first. This fact tells us that opp = 2 and adj = 1, so that the hyp is sqrt(4+1), or sqrt(5).

The sine of (arctan (2) ) is opp/hyp. We know that opp=2 and hyp = sqrt(5).
2sqrt(5)
Thus, sin (arctan (2)) = 2/sqrt(5) or ------------
5