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Grade 11Trigonometry

Find all the possible values of x, y
x, y not equal to zero such that
sec2A = 4xy/(x+y)^2

Profile image of Kawal
11 Years agoGrade 11
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1 Answer

Profile image of Jitender Singh
ApprovedApproved Tutor Answer11 Years ago
Ans:Hello student, please find answer to your question
sec^{2}A = \frac{4xy}{(x+y)^{2}}
sec^{2}A \geq 1
\frac{4xy}{(x+y)^{2}}\geq 1
4xy\geq (x+y)^{2}
(x+y)^{2}-4xy \leq 0
(x-y)^{2} \leq 0
Only solution is
x = y
x, y\in R - (0)

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