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Trig Functions (rad)
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India
Class XI

Determine reciprocal values for angles of any magnitude

Lesson
Practice

Interactive practice questions

Consider the angle $\frac{5\pi}{3}$5π3​.

a

Is $\sin\frac{5\pi}{3}$sin5π3​ positive or negative?

$\sin\frac{5\pi}{3}$sin5π3​ is negative.

A

$\sin\frac{5\pi}{3}$sin5π3​ is positive.

B
b

Is $\cos\frac{5\pi}{3}$cos5π3​ positive or negative?

$\cos\frac{5\pi}{3}$cos5π3​ is positive.

A

$\cos\frac{5\pi}{3}$cos5π3​ is negative.

B
c

Is $\tan\frac{5\pi}{3}$tan5π3​ positive or negative?

$\tan\frac{5\pi}{3}$tan5π3​ is positive.

A

$\tan\frac{5\pi}{3}$tan5π3​ is negative.

B
d

Is $\csc\frac{5\pi}{3}$csc5π3​ positive or negative?

$\csc\frac{5\pi}{3}$csc5π3​ is negative.

A

$\csc\frac{5\pi}{3}$csc5π3​ is positive.

B
e

Is $\sec\frac{5\pi}{3}$sec5π3​ positive or negative?

$\sec\frac{5\pi}{3}$sec5π3​ is positive.

A

$\sec\frac{5\pi}{3}$sec5π3​ is negative.

B
f

Is $\cot\frac{5\pi}{3}$cot5π3​ positive or negative?

$\cot\frac{5\pi}{3}$cot5π3​ is negative.

A

$\cot\frac{5\pi}{3}$cot5π3​ is positive.

B
Easy
1min

Consider the angle $-\frac{13\pi}{4}$−13π4​.

Easy
1min

Consider the expression $\tan\frac{4\pi}{3}$tan4π3​.

Easy
1min

Consider the expression $\cos\frac{2\pi}{3}$cos2π3​.

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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