Topics
Trig Functions (rad)
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India
Class XI

Exact trigonometric values in the first quadrant

Lesson

Interactive practice questions

Find the exact value of $\sin\frac{\pi}{3}$sinπ3​.

Easy
< 1min

Solve $\sin x=\frac{\sqrt{3}}{2}$sinx=√32​ for $x$x where $0\le x\le\frac{\pi}{2}$0≤x≤π2​

Medium
1min

Solve $\tan x=1$tanx=1 for $x$x where $0\le x\le\frac{\pi}{2}$0≤x≤π2​.

Medium
< 1min

Solve $\cos x=\frac{1}{\sqrt{2}}$cosx=1√2​ for $x$x where $0\le x\le\frac{\pi}{2}$0≤x≤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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