1.7.9 Solve simple trigonometric equations

The height, $h\,$ metres, of a point on a rotating wind turbine blade above its central axis is modelled by the function

\sin(3t)

where $t\,$ is the time in seconds.

a.

Sketch the graph of $h (t)$ for $\le t \le \pi$ .

[3]

b.

The equation $h (t) = k$ has exactly one solution in the interval $0≤t≤2π3\displaystyle 0 \le t \le \frac{2\pi}{3}$ .

State the possible values of $k$ .

[3]

The height, $h\,$ metres, of a point on a rotating wind turbine blade above its central axis is modelled by the function

\sin(3t)

where $t\,$ is the time in seconds.

a.

Sketch the graph of $h (t)$ for $\le t \le \pi$ .

[3]

b.

The equation $h (t) = k$ has exactly one solution in the interval $0≤t≤2π3\displaystyle 0 \le t \le \frac{2\pi}{3}$ .

State the possible values of $k$ .

[3]

1.7.9 Solve simple trigonometric equations Questions