Trig Graphs

Part of the graph of $\displaystyle y=a\sin bx^\circ$ is shown in the diagram.

State the values of $\displaystyle a$ and $\displaystyle b.$

Part of the graph of $\displaystyle y=a\cos bx^{\circ}$ is shown in the diagram.

State the values of $\displaystyle a$ and $\displaystyle b.$

Part of the graph of $\displaystyle y=3\cos(x+45)^{\circ}$ is shown in the diagram.

The graph has a minimum turning point at A.
State the coordinates of A.

The graph of $\displaystyle y=a\ cos\ x^\circ +b$, $\displaystyle 0\leq x\leq 360$, is given.

State the values of $\displaystyle a$ and $\displaystyle b.$

Part of the graph of $\displaystyle y=a\sin bx^{\circ}$ is shown in the diagram.

(a)  State the value of $\displaystyle a$.
(b)  State the value of $\displaystyle b$.

Part of the graph of $\displaystyle y=\cos(x+a)^\circ + b$ is shown.

(a)  State the value of $\displaystyle a.$
(b)  State the value of $\displaystyle b.$

The graph of $\displaystyle y=a\cos bx^{\circ}$, $\displaystyle 0\le x\le360$, is shown.

(a)  State the value of $\displaystyle a.$
(b)  State the value of $\displaystyle b.$

Part of the graph of $\displaystyle y=2\sin(x-30)^{\circ}$ is shown in the diagram.

The graph has a maximum turning point at A.
State the coordinates of A.