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Verify the following identity

cos2x/sin2x+sinx/cosx=csc2x

1 answer

cos2x/sin2x + sinx/cosx
cos2x/sin2x + 2sin^2 x/(2sinx cosx)
(cos2x + 2sin^2 x)/sin2x
(1-2sin^2 x + 2sin^2 x)/sin2x
1/sin2x
csc2x
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