SOLUTION: tan^2x+6=sec^2x+5

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Question 946977: tan^2x+6=sec^2x+5
Answer by MathLover1(20850) About Me  (Show Source):
You can put this solution on YOUR website!
tan%5E2%28x%29%2B6=sec%5E2%28x%29%2B5.........since tan%5E2%28x%29=sin%5E2%28x%29%2Fcos%5E2%28x%29, we have
sin%5E2%28x%29%2Fcos%5E2%28x%29%2B6=sec%5E2%28x%29%2B5 ...........since sec%5E2%28x%29=1%2Fcos%5E2%28x%29, we have

sin%5E2%28x%29%2Fcos%5E2%28x%29%2B6=1%2Fcos%5E2%28x%29%2B5

sin%5E2%28x%29%2Fcos%5E2%28x%29-1%2Fcos%5E2%28x%29=5-6

%28sin%5E2%28x%29-1%29%2Fcos%5E2%28x%29=-1

sin%5E2%28x%29-1=-1%2Acos%5E2%28x%29 ..........since sin%5E2%28x%29=1-cos%5E2%28x%29+

1-cos%5E2%28x%29-+1=-cos%5E2%28x%29

-cos%5E2%28x%29=-cos%5E2%28x%29 ........true