trigonometry

Prove that sin2θ=(x+y)2/4xy possible for real values of x and y only when x is equal to y. x not equal to 0.

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1357
Manish Shankar ·

(x+y)2≥4xy (AM≥GM)

equal being only when x=y

(x+y)2/4xy≥1

=>sin2θ≥1

which is true only when sin2θ=1

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