Trigonometry help on domain and range

This Trigonometry help explains about domain and range.

Domain is the set of values that t can take.

here t can take any real value.

so domain is the set of real numbers.

interval notation,domain =(-∞,∞)

we have different trigonometry formulas to solve all kinds trigonometric problems ,
let's how to get the range values.


range of a function f (denoted by ran f ) is the set of all "output" values produced by f. Sometimes it is called the image, or more precisely, the image of the domain of the function. If a function is a surjection then its range is equal to its codomain. In a representation of a function in an xy Cartesian coordinate system, the range is represented on the ordinate (on the y axis).
Now the range of sin t is given by:

-1 ≤ sin t ≤ 1

multiplying by 3,we get

-3 ≤ 3Sint ≤ 3


In interval notation

Range=[-3,3]

Question on Angular Speed/Angular Velocity at which Earth Rotates

Planet earth in the universe rotates and revolve on its own orbit in the solar system. The study of earth revolution is a part of geometry construction and as well as a geological reasoning

Topic : Angular Speed of Earth

Angular speed or angular velocity is a rate of change of angular displacement with respect to time.

Question : Each point on Earth's surface (except the poles) moves in a circle as earth rotates on its axis. What is the angular speed in a radians per second of the point where your located?

Solution :
Earth rotates once about its axis in 24 hours.
that is 2 radians in 24 hours.
Therefore angular speed = 2π/24 rad/hr
= 2π/24*60*60 rad/sec
= 7.272X10^-5rad/sec
So angular speed at which earth rotates is 7.272X10^-5rad/sec