1. Solve the equation in the interval (0, 2pi). If there is more than one soluti
ID: 2905281 • Letter: 1
Question
1. Solve the equation in the interval (0, 2pi). If there is more than one solution write them separated by commas.
(tan(x))^2+0.1tan(x)-3.8 =0
2. Solve the following equation in the interval (0, 2pi). Give the answer as a multiple of pi, the answer should be a fraction or integer. If more than one answer separate by commas.
2(cos(t))^2-cos(t)-1=0
3. Solve the following equation in the interval (0, 2pi). Give the answer as a multiple of pi, the answer should be a fraction or integer. If more than one answer separate by commas.
2(sin(t))^2-sin(t)-1=0
4. Solve the following equation in the interval (0, 2pi). Give the answer as a multiple of pi, the answer should be a fraction or integer. If more than one answer separate by commas.
2(sin(x))^2-5cosx+1=0
5. Solve the following equation in the interval (0, 2pi). Give the answer as a multiple of pi, the answer should be a fraction or integer. If more than one answer separate by commas.
2sintcost-cost+2sint-1=0
Explanation / Answer
1) (tan(x))^2+0.1tan(x)-3.8 =0
lets say tan x = a
=> a^2 + 0.1 a - 3.8 = 0
=> a^2 + 2a - 1.9a - 3.8 = 0
=> a (a+2) - 1.9 (a+2) = 0
=> (a+2) (a - 1.9) = 0
=> a = -2, 1.9
=> tan x = -2 , tanx = 1.9
=> x = tan^-1 (-2), tan^-1(1.9)
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