Topics
Trig Graphs
topic badge
CanadaON
Grade 11

Domain and range of sine and cosine curves

Lesson
Practice

Interactive practice questions

What is the domain of the sine function?

$[$[$0,360$0,360$]$]

A

$\left(-\infty,\infty\right)$(−∞,∞)

B

$[$[$-1,1$−1,1$]$]

C

$[$[$0,\infty$0,∞$)$)

D
Easy
< 1min

What is the range of the sine function?

Easy
< 1min

Consider the function $y=-3\sin x$y=−3sinx, where $x$x is in degrees.

Easy
1min

Consider the function $y=-2\cos x$y=−2cosx, where $x$x is in degrees.

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

11U.D.2.5

Determine, through investigation using technology, the roles of the parameters a, k, d, and c in functions of the form y =af (k(x – d)) + c, where f(x) =sinx or f(x) =cosx with angles expressed in degrees, and describe these roles in terms of transformations on the graphs of f(x) =sinx and f(x) =cosx

11U.D.2.6

Determine the amplitude, period, phase shift, domain, and range of sinusoidal functions whose equations are given in the form f(x) = asin(k(x – d)) + c or f(x) = acos(k(x – d)) + c

What is Mathspace

About Mathspace