How do we solve recipical trigonometric identities?

Question: How do we simplify a trig function into a single trig function without a denominator?

Here are the steps:

Step 1. Convert everything in the problem to sin(x) and cos(x)

Step 2. Now use K, F, C or Keep, Flip and Change 

Step 3. Now multiply across as you would a normal division problem.

Step 4. And BAMMMM! there is your finale answer. In some cases you may have to convert to the recipicals of Sin, Cos and Tangent (Csc, Sec and Cot)

In case you still don't understand how to simplify a trig function, Let us use a actual problem using these steps:

Problem: Sec(x)/ Cos(x)

Step 1:  1/Cos(x)/ Cos(x)

Step 2: 1/Cos(x)* 1/Cos(x)

Step 3: 1/Cos^2(x)

Step 4:  Sec^2(x)

Now Try it yourself: 

Cot^2(x)/ Csc^2(x)




Cite: http://www.deltamath.com/student.html#a