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Geometry
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India
Class XI

Coterminal Angles

Lesson
Practice

Interactive practice questions

Consider an angle of $94^\circ$94°.

a

Find the angle of smallest positive measure that is coterminal with $94^\circ$94°.

b

Find the first negative angle measure that is coterminal with $94^\circ$94°.

c

Which quadrant does $94^\circ$94° lie in?

quadrant $3$3

A

quadrant $2$2

B

quadrant $4$4

C

quadrant $1$1

D
Easy
2min

Find the angle of smallest positive measure that is coterminal with a $489^\circ$489° angle.

Easy
< 1min

Find the angle of smallest positive measure that is coterminal with a $-331^\circ$−331° angle.

Easy
< 1min

Consider an angle of $-58$−58°.

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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