Asked by jass
Use a graphing utility to approximate the solutions of the equation in the interval [0, 2Ï€). (Round your answers to three decimal places. Enter your answers as a comma-separated list.)
6 sin(x) + 3 cos(x) = 0
6 sin(x) + 3 cos(x) = 0
Answers
Answered by
Reiny
graphing utility?? why?
6sinx + 3cosx = 0
divide by cosx
6sinx/cosx + 3 = 0
6tanx = -3
tanx = -1/2
we know that the tangent is negative in II or IV
and we know tan (.4636) = +.5
x = ?-.4636 = appr 2.678
or
x = 2? - .4636 = appr 5.820
If you insist:
http://www.wolframalpha.com/input/?i=plot+y+%3D+6+sin(x)+%2B+3+cos(x)
http://www.wolframalpha.com/input/?i=solve+6+sin(x)+%2B+3+cos(x)+%3D+0
6sinx + 3cosx = 0
divide by cosx
6sinx/cosx + 3 = 0
6tanx = -3
tanx = -1/2
we know that the tangent is negative in II or IV
and we know tan (.4636) = +.5
x = ?-.4636 = appr 2.678
or
x = 2? - .4636 = appr 5.820
If you insist:
http://www.wolframalpha.com/input/?i=plot+y+%3D+6+sin(x)+%2B+3+cos(x)
http://www.wolframalpha.com/input/?i=solve+6+sin(x)+%2B+3+cos(x)+%3D+0
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