Need help with solving a trig equation?

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Need help with solving a trig equation?

The directions are: Solve the quation for solutions in the interval [0 degrees, 360 degrees)

The equation is: tanx = 2sinx

How would you go about solving this?

2007-11-29 13:00:45 · 2 answers · asked by Anonymous in Science & Mathematics ➔ Mathematics

2 answers

sin x/cos x= 2sin x so sin x( 1/cos x-2)=0 sin x= 0 x= 0 and 180ª
cos x= 1/2 so x= 60º and x= 300º

2007-11-29 13:08:57 · answer #1 · answered by santmann2002 7 · 0⤊ 0⤋

placed a million - cos^2 as antagonistic to sin^2, then enable m = cos x. this can leave you with the quadratic equation m^2 + 4m - a million = 0. settle on for m then placed cos(x) lower back in position and settle on for x.

2016-10-25 05:05:44 · answer #2 · answered by ? 4 · 0⤊ 0⤋