Seudónimo Seudónimo
  • 24-05-2018
  • Mathematics
contestada

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

Respuesta :

20ashea
20ashea 20ashea
  • 24-05-2018
A is the answer!!!!!!!!!!!!!!!!
Answer Link
altavistard
altavistard altavistard
  • 24-05-2018
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
Answer Link

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