To solve the equation [tex]12\cos(x) -6 = 0[/tex], we first add 6 to both sides to isolate the cosine term:
[tex]12\cos(x) = 6[/tex]
Next, we divide both sides by 12:
[tex]\cos(x) = \frac{1}{2}[/tex]
This means the cosine of angle x is equal to 1/2. To find the values of x that satisfy this equation, we can look at the unit circle or use inverse trigonometric functions:
To solve the equation [tex]12\cos(x) -6 = 0[/tex], we first add 6 to both sides to isolate the cosine term:
[tex]12\cos(x) = 6[/tex]
Next, we divide both sides by 12:
[tex]\cos(x) = \frac{1}{2}[/tex]
This means the cosine of angle x is equal to 1/2. To find the values of x that satisfy this equation, we can look at the unit circle or use inverse trigonometric functions:
[tex]x = \frac{\pi}{3} + 2\pi n[/tex] or [tex]x = \frac{5\pi}{3} + 2\pi n[/tex]
where n is an integer. These are the general solutions to the equation [tex]12\cos(x) -6 = 0[/tex].