Trigonometric Graphs
New Zealand
Level 7 - NCEA Level 2
Intro to sin(x), cos(x) and tan(x)
Interactive practice questions
Consider the equation $y=\cos x$y=cosx.
a
Using the fact that $\cos60^\circ=\frac{1}{2}$cos60°=12, what is the value of $\cos120^\circ$cos120°?
b
Using the fact that $\cos60^\circ=\frac{1}{2}$cos60°=12, what is the value of $\cos240^\circ$cos240°?
c
Using the fact that $\cos60^\circ=\frac{1}{2}$cos60°=12, what is the value of $\cos300^\circ$cos300°?
d
Complete the table of values, giving answers in exact form.
| $x$x | $0$0 | $60^\circ$60° | $90^\circ$90° | $120^\circ$120° | $180^\circ$180° | $240^\circ$240° | $270^\circ$270° | $300^\circ$300° | $360^\circ$360° |
|---|---|---|---|---|---|---|---|---|---|
| $\cos x$cosx | $\editable{}$ | $\editable{}$ | $\editable{}$ | $\editable{}$ | $\editable{}$ | $\editable{}$ | $\editable{}$ | $\editable{}$ | $\editable{}$ |
e
Plot the graph of $y=\cos x$y=cosx.
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Easy
4min
Consider the equation $y=\sin x$y=sinx.
Easy
5min
Consider the equation $y=\tan x$y=tanx.
Easy
3min
Consider the equation $y=\cos x$y=cosx.
Easy
3min
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