SOLUTION: Rewrite in terms of sin(x) and cos(x). sin(x+2pi/3)

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Question 1204613: Rewrite in terms of sin(x) and cos(x).
sin(x+2pi/3)
Found 2 solutions by MathLover1, math_tutor2020:
Answer by MathLover1(20850) About Me  (Show Source):
You can put this solution on YOUR website!

sin%28x%2B2pi%2F3%29=
use identity
sin%28%28A%2BB%29%29=cos%28B%29+%2Asin%28A%29+%2B+cos%28A%29%2A+sin%28B%29

in your case A=x and B=2pi%2F3
sin%28x%2B2pi%2F3%29=+cos%282pi%2F3%29%2A+sin%28x%29+%2B+cos%28x%29+%2Asin%282pi%2F3%29

Answer by math_tutor2020(3817) About Me  (Show Source):
You can put this solution on YOUR website!

sin%28a%2Bb%29+=+sin%28a%29cos%28b%29%2Bcos%28a%29sin%28b%29 One of the many trig identities

sin%28x%2B2pi%2F3%29+=+sin%28x%29cos%282pi%2F3%29%2Bcos%28x%29sin%282pi%2F3%29

sin%28x%2B2pi%2F3%29+=+sin%28x%29%28-1%2F2%29%2Bcos%28x%29%28sqrt%283%29%2F2%29 Use the unit circle

sin%28x%2B2pi%2F3%29+=+expr%28-1%2F2%29%2A%28sin%28x%29-sqrt%283%29%2Acos%28x%29%29