The graph of which trigonometric functions include the point (0,2)? (Select 3)

Remember cos 0  = 1, sin 0 = 0, tan = 0, sin(pi/2)=1

(0,2) on the graph means when x=0 then y=2.  We check the choices.

First box.  y(0) =cos 0 + 1 = 1 + 1 = 2  CHECK ME

Second box. y(0)=2 cos 0 = 2  CHECK ME

Third box.  y(0) = sin 0 + 1 = 0 + 1 = 1  don't check me

Fourth box.  y(0) = tan 0 + 1 = 0 + 1 = 1  don't check me

Fifth box.  y(0) = sin(pi/2)+1 = 1+1 = 2  CHECK ME

the direct variation says that:

then the equation is of the form is given by:

            where k is the constant variation.

from the given table:

consider any value of x and m(x)=y

x = 2 and m(x)=y = 3

substitute these value in [1]; we have;

divide both sides by 2 we get;

⇒

check:

put x = -1 and m(x) = -1.5

substitute in the equation:

-1.5 = -1.5                   true

therefore, the function m(x) represents a direct variation

graph of this function as shown below: