Topics
Trig Graphs (rad)
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India
Class XI

Transformations of tangent curves and equations

Lesson
Practice

Interactive practice questions

How has the graph $y=5\tan x$y=5tanx been transformed from $y=\tan x$y=tanx?

Choose one of the following options:

Vertical dilation by a scale factor of $5$5.

A

Horizontal dilation by a scale factor of $5$5.

B

Vertical dilation by a scale factor of $\frac{1}{5}$15​.

C

Horizontal translation by $5$5 to the right.

D
Easy
< 1min

How has the graph $y=\tan x+2$y=tanx+2 been transformed from $y=\tan x$y=tanx?

Easy
< 1min

How has the graph $y=\tan4x$y=tan4x been transformed from $y=\tan x$y=tanx?

Easy
< 1min

How has the graph $y=\tan\left(2x-\frac{\pi}{4}\right)$y=tan(2x−π4​) been transformed from $y=\tan x$y=tanx?

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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