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India
Class XI

Intro to sin(x), cos(x) and tan(x)

Interactive practice questions

Consider the equation $y=\sin x$y=sinx.

a

Using the fact that $\sin\frac{\pi}{3}=\frac{\sqrt{3}}{2}$sinπ3=32, what is the value of $\sin\frac{2\pi}{3}$sin2π3?

b

Using the fact that $\sin\frac{\pi}{3}=\frac{\sqrt{3}}{2}$sinπ3=32, what is the value of $\sin\frac{4\pi}{3}$sin4π3?

c

Using the fact that $\sin\frac{\pi}{3}=\frac{\sqrt{3}}{2}$sinπ3=32, what is the value of $\sin\frac{5\pi}{3}$sin5π3?

d

Complete the table of values. Give your answers in exact form.

$x$x $0$0 $\frac{\pi}{3}$π3 $\frac{\pi}{2}$π2 $\frac{2\pi}{3}$2π3 $\pi$π $\frac{4\pi}{3}$4π3 $\frac{3\pi}{2}$3π2 $\frac{5\pi}{3}$5π3 $2\pi$2π
$\sin x$sinx $\editable{}$ $\editable{}$ $\editable{}$ $\editable{}$ $\editable{}$ $\editable{}$ $\editable{}$ $\editable{}$ $\editable{}$
e

Draw the graph of $y=\sin x$y=sinx.

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Easy
6min

Consider the equation $y=\cos x$y=cosx.

Easy
5min

Consider the equation $y=\tan x$y=tanx.

Easy
4min

Consider the equation $y=\sin x$y=sinx.

Easy
4min
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Outcomes

11.SF.TF.1

Positive and negative angles. Measuring angles in radians and in degrees and conversion from one measure to another. Definition of trigonometric functions with the help of unit circle. Truth of the identity sin^2 x + cos^2 x = 1, for all x. Signs of trigonometric functions and sketch of their graphs. Expressing sin (x + y) and cos (x + y) in terms of sin x, sin y, cos x and cos y. Deducing the identities like following: cot(x + or - y), sin x + sin y, cos x + cos y, sin x - sin y, cos x - cos y (see syllabus document)

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