SOLUTION: Verify: Tan(squared)x-Tan(squared)y=Sec(Squared)x-Sec(squared)y

Algebra ->  Trigonometry-basics -> SOLUTION: Verify: Tan(squared)x-Tan(squared)y=Sec(Squared)x-Sec(squared)y      Log On


   

Question 197493: Verify: Tan(squared)x-Tan(squared)y=Sec(Squared)x-Sec(squared)y
Answer by Alan3354(69443) About Me  (Show Source):
You can put this solution on YOUR website!
Verify: Tan(squared)x-Tan(squared)y=Sec(Squared)x-Sec(squared)y
---------------
tan^2(x)-sec^2(x) = tan^2(y) - sec^2(y)
---------------
tan^2 + 1 = sec^2 of any angle --> tan^2 - sec^2 = -1
---------------
tan^2(x)-sec^2(x) = tan^2(y) - sec^2(y)
-1 = -1