3. Periodic Models and the Unit Circle
3.07 Key features of sine, cosine, and tangent graphs
Interactive practice questions
Consider the equation $y=\sin x$y=sinx.
a
Using the fact that $\sin30^\circ=\frac{1}{2}$sin30°=12, what is the value of $\sin150^\circ$sin150°?
b
Using the fact that $\sin30^\circ=\frac{1}{2}$sin30°=12, what is the value of $\sin210^\circ$sin210°?
c
Using the fact that $\sin30^\circ=\frac{1}{2}$sin30°=12, what is the value of $\sin330^\circ$sin330°?
d
Complete the table of values giving answers in exact form.
| $x$x | $0^\circ$0° | $30^\circ$30° | $90^\circ$90° | $150^\circ$150° | $180^\circ$180° | $210^\circ$210° | $270^\circ$270° | $330^\circ$330° | $360^\circ$360° |
|---|---|---|---|---|---|---|---|---|---|
| $\sin x$sinx | $\editable{}$ | $\editable{}$ | $\editable{}$ | $\editable{}$ | $\editable{}$ | $\editable{}$ | $\editable{}$ | $\editable{}$ | $\editable{}$ |
e
Plot the graph of $y=\sin x$y=sinx.
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Easy
5min
Consider the equation $y=\cos x$y=cosx.
Easy
4min
Consider the equation $y=\tan x$y=tanx.
Easy
3min
Consider the equation $y=\sin x$y=sinx.
Easy
3min
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