Simplify sin(pi/3+x)

Problem

sin(π/3+x)

Solution

1. Identify the appropriate trigonometric identity for the sine of a sum of two angles.

2. Apply the formula sin(A+B)=sin(A)*cos(B)+cos(A)*sin(B) where A=π/3 and B=x

3. Substitute the known values for the trigonometric functions of the special angle π/3

4. Evaluate sin(π/3)=√(,3)/2 and cos(π/3)=1/2

5. Combine the terms into a single expression.

Final Answer

sin(π/3+x)=√(,3)/2*cos(x)+1/2*sin(x)

Want more problems? Check here!