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-
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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) (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.
}{\cos^4\theta})
Apply the Pythagorean Identity
Apply the Pythagorean Identity again
Therefore:
John
Egw to Beta kai to Sigma
My calculator said it, I believe it, that settles it
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