Question

How do you find the amplitude and period of y=2cos(pi/6x)+1

Answer 1

\[If\ y=A \cos (Bx+C)+D\]
the amplitude is |A| and the period T is given by
\[T=\frac{2\pi}{B}\ ...........(1)\]
In the question A is 2 units and
\[B=\frac{\pi}{6}\]
Substituting the value of B into equation (1) gives
\[T=\frac{2 \pi}{\frac{\pi}{6}}=?\]