SOLUTION: find the exact value of sec(25)csc(65)-tan(25)cot(65) i got .999 etc but i think i need to get a exact measure

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Question 926274: find the exact value of sec(25)csc(65)-tan(25)cot(65)
i got .999 etc but i think i need to get a exact measure
Answer by lwsshak3(11628) About Me  (Show Source):
You can put this solution on YOUR website!
find the exact value of sec(25)csc(65)-tan(25)cot(65)
sec%2825%29csc%2865%29-tan%2825%29cot%2865%29

%281-sin%2825%29cos%2865%29%29%2F%28cos%2825%29sin%2865%29%29
Identities:
sin(x)=cos(90-x)
cos(x)=sin(90-x)
%281-sin%2825%29sin%2825%29%29%2F%28cos%2825%29cos%2825%29%29
%281-sin%5E2%2825%29%29%2F%28cos%5E2%2825%29%29
%28cos%5E2%2825%29%29%2F%28cos%5E2%2825%29%29=1
exact value of sec(25)csc(65)-tan(25)cot(65) =1