Question
Solve the equation
x=2kπ,k∈Z
Alternative Form
x=90∘k,k∈Z
Evaluate
∣sin(2x)∣×π28×x=0×π
Any expression multiplied by 0 equals 0
∣sin(2x)∣×π28×x=0
Multiply the terms
π28∣sin(2x)∣×x=0
Rewrite the expression
π28∣sin(2x)∣×x=0
Multiply both sides of the equation by LCD
π28∣sin(2x)∣×x×π2=0×π2
Simplify the equation
8∣sin(2x)∣×x=0×π2
Any expression multiplied by 0 equals 0
8∣sin(2x)∣×x=0
Solution
More Steps

Calculate
8x∣sin(2x)∣=0
Elimination the left coefficient
x∣sin(2x)∣=0
Separate the equation into 2 possible cases
x=0∣sin(2x)∣=0
Solve the equation
More Steps

Evaluate
∣sin(2x)∣=0
Rewrite the expression
sin(2x)=0
Use the inverse trigonometric function
2x=arcsin(0)
Calculate
2x=0
Add the period of kπ,k∈Z to find all solutions
2x=kπ,k∈Z
Solve the equation
x=2kπ,k∈Z
x=0x=2kπ,k∈Z
Find the union
x=2kπ,k∈Z
x=2kπ,k∈Z
Alternative Form
x=90∘k,k∈Z
Show Solution
