find the period cos(theta/4)
step plz
recall that the period of
cos(kx) is 2π/k
sir honestly i dont know plz teach me
when theta/4 = 2 pi you have gone once around the circle
theta/4 = 2 pi
theta = 8 pi
To find the period of the function cos(theta/4), we can use the formula for the period of a cosine function. The general form of a cosine function is f(theta) = A * cos(B(theta + C)) + D, where A, B, C, and D are constants.
In this case, A = 1, B = 1/4, C = 0, and D = 0.
The period formula for a cosine function is given by:
Period = 2π / |B|
Substituting the value of B = 1/4 into the formula, we get:
Period = 2π / |1/4|
The absolute value of 1/4 is 1/4, so we can simplify further:
Period = 2π / (1/4)
To divide by a fraction, we can multiply by its reciprocal:
Period = 2π * (4/1)
Multiplying across, we have:
Period = 8π
Therefore, the period of the function cos(theta/4) is 8π.