If f( ? ) = sin ?, what is f(5p /3)?

Question

The π  next to the 5 is pi.

pls explain

Answer 1

f(x) = sin(x)

Basically this means that to perform the function you

take the sine of whatever is inside the parentheses

 

f(5pi/3) = sin(5pi/3)

Note this is in radians so on your scientific calculator make sure

you are set to work in radians, not degrees

= -0.866

depending on how many decimal places you need to round to

 

Note this is the same answer Michael got since 

-√3/2 = -0.866

Answer 2

Let ? = x

 

f(x) = sin(x)

 

 

Substitute x = 5π/3

 

f(5π/3) = sin(5π/3)

          

            = sin(300)  ---->  in degrees

            

            = sin(360 - 60)

 

 

Using the subtraction angle identity

 

            = sin(360)cos(60) - cos(360)sin(60)

           

            = -√(3) / 2