Exercise
$\cos\left(x\right)=\cos\left(x-60\right)$
Step-by-step Solution
Learn how to solve problems step by step online. Solve the trigonometric equation cos(x)=cos(x-60). Grouping all terms to the left side of the equation. Apply the trigonometric identity: \cos\left(a\right)-\cos\left(b\right)=-2\sin\left(\frac{a-b}{2}\right)\sin\left(\frac{a+b}{2}\right), where a=x and b=x-60. Simplify the product -(x-60). Cancel like terms x and -x.
Solve the trigonometric equation cos(x)=cos(x-60)
Final answer to the exercise
$x=0+2\pi n,\:x=\frac{7}{6}\pi+2\pi n\:,\:\:n\in\Z$