An identity in math is something that is equal after both sides of the equation are simplified. Reciprocal identities simply mean the opposite of each trig function. We have three fundamental reciprocal identities in trig:
sin = 1/csc, cos = 1/sec, tan = 1/cot
We can simplify expressions using reciprocal identities by first flipping the numerator and denominator. Then, check to see if the radical is in the numerator, if not, then multiply by the radical to get it into the numerator (and out of the denominator). Next, check and see if the radical is in simplest terms. If not, break it down and take out any pairs of numbers that you find (anything that is not a pair is multiplied back together and stays under the radical). Finally, check to make sure that your fraction is in simplest terms. If not, reduce it. Don't forget to include the trig function as part of your answer!
No comments:
Post a Comment