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Grade 12

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.

Loading Graph...
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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Outcomes

12CT.C.2.1

Make connections between the sine ratio and the sine function and between the cosine ratio and the cosine function by graphing the relationship between angles from 0º to 360º and the corresponding sine ratios or cosine ratios, with or without technology (e.g., by generating a table of values using a calculator; by unwrapping the unit circle), defining this relationship as the function f(x) = sin x or f(x) = cos x, and explaining why the relationship is a function

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