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India
Class XI

Unit circle and reciprocal trig functions

Interactive practice questions

Use the figure to find the value of $\sec\left(\frac{2\pi}{3}\right)$sec(2π3).

Easy
< 1min

Use the figure to find the value of $\csc\left(\frac{4\pi}{3}\right)$csc(4π3).

Easy
1min

Use the figure to find the value of $\cot\left(\frac{7\pi}{6}\right)$cot(7π6).

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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