Topics
Trig Graphs (rad)
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India
Class XI

Symmetrical and periodic nature of trig functions

Lesson
Practice

Interactive practice questions

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

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a

How long is one cycle of the graph?

b

State the $x$x values for which $\sin x=0$sinx=0, from $x=0$x=0 to $x=2\pi$x=2π inclusive.

c

State the first $x$x value for which $\sin x=0.5$sinx=0.5

d

Using the symmetry of the graph, for what other value of $x$x shown on the graph does $\sin x=0.5$sinx=0.5?

e

Using the symmetry of the graph, for what values of $x$x does $\sin x=-0.5$sinx=−0.5?

Easy
5min

Examine the graph of $y=\cos x$y=cosx.

Easy
4min

Examine the graph of $y=\tan x$y=tanx.

Easy
4min

Examine the graph of $y=\sin x+3$y=sinx+3.

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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