Solve the equation cos3x=1^2 where x is radian
To solve the equation cos3x = 1^2, we first need to simplify the equation.
Since 1^2 = 1, the equation becomes cos3x = 1.
To find the values of x that satisfy this equation, we can use the inverse cosine function, also known as arccos or cos^(-1).
Taking the inverse cosine of both sides of the equation, we have:
arccos(cos3x) = arccos(1)
The inverse cosine function and regular cosine function are inverses of each other, so they cancel each other out:
3x = 0
Now, we can solve for x by dividing both sides of the equation by 3:
x = 0/3
Therefore, the solution to the equation cos3x = 1^2 in radians is x = 0.