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Whats the general solution for 5sinx-3cosx+2=0. plz show all steps not just the answer?
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- moeLv 78 years agoFavorite Answer
5sinx-3cosx+2=0
(5sinx+2)^2 = (3cosx)^2
34sin^x + 20sinx-5 = 0
sinx = [-20 +/-sqrt(400+680)] / 68
= [-20 +/- 32.68]/68 or
sinx = 39.2 deg (approx.) or 10.9 deg (approx.)
After verification, (plug in the values of sinx and cosx in the given equation:
x = 10.9 <=ANS
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