SOLUTION: establish each identity A) sec^4 theta - sec^2 theta = tan^4 theta + tan^2 theta B)csc theta - cot theta = sin theta over 1 + cos theta C) 1- sin^2 theta over 1-

Algebra ->  Trigonometry-basics -> SOLUTION: establish each identity A) sec^4 theta - sec^2 theta = tan^4 theta + tan^2 theta B)csc theta - cot theta = sin theta over 1 + cos theta C) 1- sin^2 theta over 1-      Log On


   

Question 699733: establish each identity

A) sec^4 theta - sec^2 theta = tan^4 theta + tan^2 theta

B)csc theta - cot theta = sin theta over 1 + cos theta

C) 1- sin^2 theta over 1- cos theta = -cos thea
Answer by solver91311(24713) About Me  (Show Source):
You can put this solution on YOUR website!




Use equivalent sine and cosine expressions:



Apply LCD to both sides:



Factor out from the numerator in the RHS.



Apply the Pythagorean Identity



Apply the Pythagorean Identity again



Therefore:



John

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