How do I use the double angle formula to compute Tan (2x), if Tan(x) = .192?

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How do I use the double angle formula to compute Tan (2x), if Tan(x) = .192?

Thank you!

2007-07-08 04:53:46 · 2 answers · asked by ? 1 in Science & Mathematics ➔ Mathematics

2 answers

tan 2x
=(2 tan x)/(1-tan^2 x)
=(2*0.192)/(1-[0.192]^2)
=0.384/0.9631
=0.3987

2007-07-08 05:04:28 · answer #1 · answered by alpha 7 · 0⤊ 1⤋

The summation formula for tan x is
tan(x+y) = (tan x + tan y)/(1 - tan x tan y).
So
tan(2x) = 2 tan x/(1 - tanÂ² x).
So tan(2x) = .384/ (1- .192Â²) = 0.3987(approx.).

2007-07-08 12:02:41 · answer #2 · answered by steiner1745 7 · 0⤊ 0⤋