SOLUTION: if cot teta =root 7 nd teta doesnot lie in the first quardant then cosec square teta-sec square teta/cosec square teta+sec square teta

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Question 1011133: if cot teta =root 7 nd teta doesnot lie in the first quardant then cosec square teta-sec square teta/cosec square teta+sec square teta
Answer by Alan3354(69443) About Me  (Show Source):
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if cot teta =root 7 nd teta doesnot lie in the first quardant then cosec square teta-sec square teta/cosec square teta+sec square teta
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cot = x/y = sqrt(7)
cot is + in Q1 and Q3 --> x = -1, y = sqrt(7)
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r = sqrt(x^2 + y^2) = sqrt(50) = 5sqrt(2)
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csc = 1/sin = r/y = 5sqrt(2)/sqrt(7)
csc^2 = 50/7
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sec = 1/cos = r/x = 5sqrt(2)/-1
sec^2 = 50
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(csc^2 - sec^2)/(csc^2 + sec^2) = (-300/7)/(400/7)
= -3/4