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India
Class XI

Find the equation of a cot, sec and cosec curve

Interactive practice questions

Consider the graph below.

Loading Graph...

a

What is the equation of the asymptote shown?

b

Which key feature occurs at the point where $x=\frac{\pi}{2}$x=π2?

A point of inflection.

A

An asymptote.

B

A local minimum.

C

A local maximum.

D
c

What is the period of this function?

d

Write down the equation of this function in the form $y=a\sec\left(bx\right)$y=asec(bx), $y=a\csc\left(bx\right)$y=acsc(bx) or $y=a\cot\left(bx\right)$y=acot(bx).

Easy
3min

Consider the graph below.

Easy
4min

Consider the graph below.

Easy
3min

Consider the graph below.

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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