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India
Class XI

Dilation of tangent curves

Interactive practice questions

To produce the graph of $y=3\tan x$y=3tanx, will a dilation by a factor of $3$3 from the $x$x-axis stretch or compress the graph of $y=\tan x$y=tanx vertically?

Stretch

A

Compress

B
Easy
< 1min

Select the most appropriate word to complete the sentence.

Easy
< 1min

Choose the statement that best describes how to get the graph of $y=-5\tan x$y=5tanx from the parent function $y=\tan x$y=tanx.

Easy
< 1min

Choose the description that best matches the graph of $y=\frac{1}{4}\tan x$y=14tanx.

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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