Question

What is the range of y = sin θ ? [–1, 1] [0, ∞) all real numbers 2π

Answer 1

Range is set of all outputs.

Remember that sin function looks like infinitely long wave so y = sin(θ) would have domain of all real numbers and range would be [-1,1].

Hope this helps.

Answer 2

Range of the given function is:

[-1,1]

Explanation:

We know that the graph of a sine function i.e.

`y=\sin \theta`

is a continuous curve that repeats itself after a fixed interval of 2π i.e. fundamental period of function is: 2π.

Also, the minimum value of the function is: -1

and the maximum value of the function is 1

and all the other value lie between these.

Hence, the range of y=sinθ is: [-1,1]