PROVE √(1-〖cos〗^2 θ)/cosθ=tanθ

The answer is below.

Step-by-step explanation:

PROVE √(1-〖cos〗^2 θ)/cosθ = tanθ

Now 1 - cos^2 θ = sin^2θ

So  √(1 - cos^2 θ) = sin θ

and  √(1 - cos^2 θ) / cos  θ

= sin θ / cos θ

= tan θ

Step-by-step explanation:

45.3592

step-by-step explanation:

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: