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India
Class XI

Domain and range of sine and cosine curves

Interactive practice questions

Answer the following.

a

The domain of both the sine and cosine functions is:

$[$[$-1,1$1,1$]$]

A

$[$[$0,\infty$0,$)$)

B

$\left(-\infty,\infty\right)$(,)

C

$[$[$0,2\pi$0,2π$]$]

D
b

The range of both the sine and cosine functions is:

$[$[$-2\pi,2\pi$2π,2π$]$]

A

$[$[$-1,1$1,1$]$]

B

$\left(-\infty,\infty\right)$(,)

C

$[$[$0,2\pi$0,2π$]$]

D
Easy
< 1min

Consider the function $y=-3\sin x$y=3sinx, where $x$x is in radians.

Easy
1min

Consider the function $y=-2\cos x$y=2cosx, where $x$x is in radians.

Easy
< 1min

Consider the function $y=5\sin2x$y=5sin2x, where $x$x is in radians.

Easy
2min
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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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