SOLUTION: What are the x's of: ((cot^2)x) +(csc^2)x)) = 7

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Question 747141: What are the x's of: ((cot^2)x) +(csc^2)x)) = 7
Answer by lwsshak3(11628) About Me  (Show Source):
You can put this solution on YOUR website!
What are the x's of: ((cot^2)x) +(csc^2)x)) = 7
assume x=acute angle
cot%5E2%28x%29%2Bcsc%5E2x=7
%28cos%5E2%28x%29%2Fsin%5E2%28x%29%29%2B%281%2Fsin%5E2%28x%29%29=7
%28cos%5E2%28x%29%2B1%29%2F%28sin%5E2%28x%29%29=7
%28cos%5E2%28x%29%2B1%29=%287sin%5E2%28x%29%29
%28cos%5E2%28x%29%2B1%29=7%281-cos%5E2%28x%29%29
cos%5E2%28x%29%2B1=7-7cos%5E2%28x%29
8cos%5E2%28x%29=6
cos%5E2%28x%29=3%2F4
cos(x)=√3/2
x=π/6