Rewrite − 6 sin ( x ) + 5 cos ( x ) as A sin ( x + ϕ )

Answer 1

Here is how you solve this problem.

1) -6·sin(x)+ 5·cos(x) is in the form of a·sin(x) + b·sin(x)

2) a = -6, b = 5

3) You are trying to rewrite the given equation into the form √(a²+b²) sin(x+φ)

4) sin φ = b / √(a²+b²)

5) Solve for φ to get a value of.082 radians

6) Fill in all the values for the equation in step 3 to get an answer of √(61)sin(x+.082)·