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India
Class XI

Domain and range of tangent curves

Interactive practice questions

Consider the function $f\left(x\right)=\tan x$f(x)=tanx. For what values of $x$x (in radians) is $f\left(x\right)=\tan x$f(x)=tanx not defined?

Odd integer multiples of $\frac{\pi}{2}$π2

A

Even integer multiples of $\pi$π

B

Odd integer multiples of $\pi$π

C

Even integer multiples of $\frac{\pi}{2}$π2

D
Easy
< 1min

Select the correct domain of $y=\tan x$y=tanx.

Easy
1min

Select the correct range of $y=\tan x$y=tanx.

Easy
< 1min

Let $f\left(x\right)=\tan x$f(x)=tanx and $g\left(x\right)=\tan x+4$g(x)=tanx+4.

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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