You can put this solution on YOUR website! One of the trigonometric identity is:
1+tan^2 u = sec^2 u
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Here is a site w/trig identities:
http://www.sosmath.com/trig/Trig5/trig5/trig5.html
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so, if we started with:
1+tan^2 u = sec^2 u
subtracting tan^2 u from both sides:
1 = sec^2 u - tan^2 u
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Therefore:
sec^2 50°- tan^2 50° = 1