SOLUTION: use factoring, the quadratic formula or identities to solve sec^2x+tanx=1. find all solutions on the interval [0,2pi).

Question 80152: use factoring, the quadratic formula or identities to solve sec^2x+tanx=1. find all solutions on the interval [0,2pi).
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
use factoring, the quadratic formula or identities to solve sec^2x+tanx=1. find all solutions on the interval [0,2pi).
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sec^2=tan^2+1
Your Problem:
tan^2+1+tanx+=1
tan^2+tanx-1=0
Use the Quadratic formula to get:
tanx = [1+-sqrt(1-4*1*-1)]/2
tanx = [1+sqrt5]/2 or tanx=[1-sqrt5]/2
x=58.28 degrees or x=58.28+180 degrees
x=-31.72 degrees or x=-31.72 + 180 degrees
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Cheers,
Stan H.

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