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India
Class XI

Key features of sine and cosine curves

Interactive practice questions

Consider the curve $y=\sin x$y=sinx drawn below and answer the following questions.

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a

What is the $y$y-intercept? Give your answer as coordinates in the form $\left(a,b\right)$(a,b).

b

What is the maximum $y$y-value?

c

What is the minimum $y$y-value?

Easy
< 1min

Consider the curve $y=\cos x$y=cosx drawn below and answer the following questions.

Easy
< 1min

Consider the curve $y=\sin x$y=sinx drawn below and determine whether the following statements are true or false.

Easy
< 1min

Consider the curve $y=\cos x$y=cosx drawn below and determine whether the following statements are true or false.

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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