PLEASE ANSWER ASAP
Which of the following is equivalent to sin(3pi/4) ?
A. sin(- 3pi/4)
B. -sin(3pi/4)
C. sin(pi/4)
D. sin(- pi/4)

Respuesta :

The answer is: C. sin(π/4)
To solve this problem you must apply the proccedure shown below:
 1. You have the following expression given in the problem above: sin(3π/4).
 2. Then, the reference angle of 3
π/4 is:
 =
π-3π/4
 =π/4
 3. Then you have that:
 sinβ=±sinα Where α is the reference angle. Therefore
 sin(3π/4)=±sin(π/4) 
 4. Therefore you choose in you answers options: sin(3π/4)=sin(π/4)