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India
Class X

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

10.T.IT.1

Trigonometric ratios of an acute angle of a right-angled triangle. Proof of their existence (well defined); motivate the ratios, whichever are defined at 0° and 90°. Values (with proofs) of the trigonometric ratios of 30°, 45° and 60°. Relationships between the ratios.

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