An excellent teacher from my past said that verifying a Trig Identity was frequently a little bit of trig and a LOT of Algebra.

To verify or prove the trigonometric identity that follows, one can do the following steps:

1. Rewrite the left side, which is the sum of two reciprocal trig functions ( cscx and cotx ) ,in terms of sinx and cosx.

2. The preceding step will give you a common denominator.

3. Multiply the resulting fraction top and bottom by sinx.

4. The preceding step is confusing but justified by the fact that sin^2x = 1-cos^2x which is a pythagorean Identity.

5. Now we use the difference of two squares factoring formula in the next to last step to get a cancellation of a common factor in numerator and denominator which ends up verifying the identity.

You made doing that hard identity much easier than my teacher

Miami Southridge Senior High School Miami, Florida. Pricipal Humberto J. Miret has to be exceedingly proud of rapping algebra teacher Brandon for his exceptional performance on Wheel of Fortune!