Use the most appropriate method to solve the following equation on the interval [0, 2Pi). Use exact values where possible or give approximate solutions correct to four decimal places.
cosx – 5 = 3cosx + 6
2007-11-30 18:16:56 · 4 answers · asked by ambriz_jesus10 1 in Science & Mathematics ➔ Mathematics
minus cosx on both sides
-5=2cosx+6
cosx=-11/2
undefined because cos x absolute value cannot be greatest than1
2007-11-30 18:29:20 · answer #1 · answered by someone else 7 · 0⤊ 0⤋
cosx – 5 = 3cosx + 6 has no solution.
|cosx| ≤ 1
2007-11-30 18:32:59 · answer #2 · answered by Helmut 7 · 0⤊ 0⤋
In a linear trig equation you isolate the trig ratio, and then discover thoughts using the symmetry and periodicty of the trig ratio Eg 2sinx +4 =3 In a quadratic trig equation you could simplfy, then make a substitution to style an ordinary quadratic equation. fixing that yeilds 2 thoughts, and each and each may be the muse for many thoughts using the periodicy of the trig function. eg sinx +cos^2x =a million if so you could opt to alter cos^2x to a million-sin^2x in the previous fixing. there are various different tricks, regularly making use of trignometric identies, that show you how to simplify an equation to the factor at which it is solved.
2016-10-18 11:08:11 · answer #3 · answered by pienkowski 4 · 0⤊ 0⤋
do your homework
2007-11-30 18:41:30 · answer #4 · answered by Theta40 7 · 0⤊ 0⤋