Topics
Trig Functions (rad)
topic badge
India
Class XI

Angles of any magnitude

Lesson
Practice

Interactive practice questions

Consider the expression $\sin\frac{5\pi}{6}$sin5π6​.

a

In which quadrant is $\frac{5\pi}{6}$5π6​?

fourth quadrant

A

second quadrant

B

third quadrant

C

first quadrant

D
b

What positive acute angle is $\frac{5\pi}{6}$5π6​ related to?

c

Is $\sin\frac{5\pi}{6}$sin5π6​ positive or negative?

negative

A

positive

B
d

Rewrite $\sin\frac{5\pi}{6}$sin5π6​ in terms of its relative acute angle. You do not need to evaluate $\sin\frac{5\pi}{6}$sin5π6​.

Easy
2min

Consider the expression $\cos\frac{5\pi}{4}$cos5π4​.

Easy
2min

Consider the expression $\tan\frac{5\pi}{3}$tan5π3​.

Easy
1min

Find the exact value of $\cos\left(-\frac{5\pi}{3}\right)$cos(−5π3​)

Easy
< 1min
Sign up to access Practice Questions
Get full access to our content with a Mathspace account
Book a Demo
Sign up for free

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)

What is Mathspace

About Mathspace