Trig Graphs (rad)

Symmetrical and periodic nature of trig functions

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

Key features of sine and cosine curves

Amplitude of sine and cosine

Period changes for sine and cosine

Phase shifts for sine and cosine

Transformations of sine and cosine curves and equations

Domain and range of sine and cosine curves

Graphing sine curves

Graphing cosine curves

Finding equations of sine and cosine curves

Graphical solution of trigonometric equations involving sine and cosine

Applications of sine and cosine functions

Graph sums of sine and cosine (rad)

Key features of tangent curves

Dilation of tangent curves

Period changes for tangents

Phase shifts for tangents

Transformations of tangent curves and equations

Domain and range of tangent curves

Graphing tangent curves

Find the equation of a tangent curve

Intro to sec(x), cosec(x) and cot(x)

Key features of cot, sec and cosec curves

Transformations of cot, sec and cosec curves and equations

Domain and range of cot, sec and cosec curves

Graphing cot, sec and cosec curves

Find the equation of a cot, sec and cosec curve

Class XI

Graphical solution of trigonometric equations involving sine and cosine

Interactive practice questions

Consider the function $y=3\sin x$y=3sinx.

a

Graph this function.

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b

Add the line $y=3$y=3 to your graph.

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c

Hence, state all solutions to the equation $3\sin x=3$3sinx=3 over the domain $\left[-2\pi,2\pi\right]$[−2π,2π]. Give your answers as exact values separated by commas.

Easy

3min

Consider the function $y=3\cos x$y=3cosx.

Easy

3min

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

Easy

5min

Consider the function $y=\sin\left(\frac{x}{4}\right)$y=sin(x4).

Easy

4min

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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