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Mamont248 [21]
4 years ago
5

Sin2x/1+cos2x=tanx How do I prove this with the double angle law

Mathematics
1 answer:
bearhunter [10]4 years ago
3 0
sin(2x) = 2 sin x cos x \\  \\ cos(2x) = cos^2 x - sin^2 x
After Substituting:
\frac{2 sin x cos x}{1+cos^2 x - sin^2 x}
Use pythagorean thm:
1 - sin^2 x = cos^2 x
......................
\frac{2 sin x cos x}{2cos^2 x} \\  \\ = \frac{sinx }{cos x} \\  \\ = tan x
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