Let , (-2,3) be a point on the terminal side of θ . find the exact values of sinθ , secθ , and tanθ .

Here we have to use the following ratio rule

In the given point , x=-2, y=3, so

Using the value of tan theta, we will get

Now we need to find the value of cos theta

And

the simplified form is

step-by-step explanation:

we want to simplify the expression,

let us change the middle bar to a normal division sign to obtain,

we multiply the first fraction by the reciprocal of the second fraction to obtain,

we factor to obtain,

we cancel the common factors to get,

we simplify to get,

the correct answer is b