Topics
Trig Functions (rad)
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India
Class XI

Solve trigonometric equations with exact values

Lesson
Practice

Interactive practice questions

Find the measure in radians of the angle satisfying $\cos\theta=\frac{\sqrt{3}}{2}$cosθ=√32​ for $0<\theta<\frac{\pi}{2}$0<θ<π2​.

Easy
1min

Find the measure in radians of the acute angle satisfying $10\sin\theta-5=0$10sinθ−5=0.

Easy
1min

Find the measure in radians of the acute angle satisfying $\tan\theta=\frac{2}{\sqrt{3}}-\tan\theta$tanθ=2√3​−tanθ.

Easy
2min

Consider the equation $\sin\theta=-\frac{1}{2}$sinθ=−12​ for $0<\theta<\frac{\pi}{2}$0<θ<π2​.

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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