Question

The answer isn't 8-2root3 btw

Answer 1

Explanation:

16cos(30)-20sin(60) -8sin(90)

look at the pattern of the numerators Millie, you can remember all of the sin and cos functions at the special angles now. :)

sin(0) = 0 / 2

sin(30) = 1 / 2

sin(45) =
`√(2)` / 2

sin(60) =
`√(3)` / 2

sin(90) =
`√(4)` / 2 aka 1

now the numerators just count up from 90°

cos(90) = 0 / 2

cos(60) = 1 / 2

cos(45) =
`√(2)` / 2

cos(30) =
`√(3)` / 2

cos(0) =
`√(4)` / 2 aka 1

see the pattern.. it's pretty easy to memorize, knowing that :)

now let's use the above to plug into the given equation

16*
`√(3)` / 2 - 20*
`√(3)` / 2- 8*
`√(4)` / 2

8*
`√(3)` - 10
`√(3)` -8

-2*
`√(3)` - 8

this isn't quite the same answer as you got before.. I feel like it's right

Answer 2

1.41226231144

Explanation: