What is amplitude period phase shift calculator for trigonometric functions?

The trigonometric equation you enter should be in the form of A sin (Bx − C) + D (or) A cos (Bx − C) + D. The given below is the amplitude period phase shift calculator for trigonometric functions which helps you in the calculations of vertical shift, amplitude, period, and phase shift of sine and cosine functions with ease.

What is the period of a phase shift equation?

So with every 2\pi/B 2π/B added to the argument x x, we land back in the same spot, and the function repeats itself (and similarly for the cosine). All in all, the period of a phase shift equation is equal to 2\pi/B 2π/B. Our daily knowledge of waves usually prioritizes the frequency over the period; however, they are almost the same thing.

Does the phase shift formula affect the period of a sine function?

Recall that the sine and cosine functions have periods equal to 2\pi 2π, i.e., we have \sin (x + 2\pi) = \sin (x) sin(x +2π) = sin(x) and cos (x + 2\pi) = cos (x) cos(x +2π) = cos(x) for any x x. In particular, that gives: and: So, we see that the A A and D D in the phase shift formula have no effect on the period.