Topics
Trig Graphs (rad)
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India
Class XI

Amplitude of sine and cosine

Lesson
Practice

Interactive practice questions

Fill in the missing number.

a

What is the amplitude of the graphs of $y=\sin x$y=sinx and $y=\cos x$y=cosx?

b

What is the period of the graphs of $y=\sin x$y=sinx and $y=\cos x$y=cosx in radians?

Easy
< 1min

Consider the expression $\cos\theta$cosθ.

Easy
6min

How does the graph of $y=4\cos x$y=4cosx differ from the graph of $y=\cos x$y=cosx?

Easy
< 1min

Is the following statement true or false?

"The amplitude of $y=5\cos x$y=5cosx is greater than the amplitude of $y=\cos x$y=cosx."

Easy
< 1min
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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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