tan 5x + tan 3x/tan 5x -tan 3x
= 4 cos 2x cos 4x.
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sin5x/cos5x+sin3x/cos3x/sin5x/cos5x-sin3x/cos3x
sin5x.cos3x+sin3x.cos5x/sin5x.cos3x-cos5x.sin3x
sin(5x+3x)/sin(5x-3x)
sin8x/sin2x
2sin4xcos4x/sin2x
2×2sin2x.cos2x.cos4x/sin2x
4cos2xcos4x
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