Topics
Trig Functions (rad)
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India
Class XI

Unit circle and 3 trig functions

Lesson
Practice

Interactive practice questions

Given that $x=\pi$x=πc represents half a circle, what fraction of the circumference of the unit circle does $x=\frac{\pi}{4}$x=π4​c represent?

Easy
1min

Given that $x=\pi$x=πc represents half a circle, what fraction of the circumference of the unit circle does $x=\frac{4\pi}{7}$x=4π7​c represent?

Easy
1min

What fraction of the circumference of the unit circle does $x=5\pi$x=5πc represent?

Easy
< 1min

What fraction of the circumference of the unit circle does $s=\frac{7\pi}{2}$s=7π2​ represent?

Medium
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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