In the space below, algebraically solve the equation cos3x=0.5 in the domain −180∘≤x≤360∘
x=20∘,100∘
Step 1 :Find the angles whose cosine is 0.5: cos−1(0.5)=60∘,300∘
Step 2 :Divide the angles by 3 to get the values of x: x1=60∘3=20∘, x2=300∘3=100∘
Step 3 :x=20∘,100∘