Find the general solution of equation: sin(x/2) = 0
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11th
Maths
Trigonometric Functions
Trigonometric Equations
Find the general solution o...
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Find the general solution of the equation sin2x+cosx=0.
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sin2x+cosx=0
2sinxcosx+cosx=0
cosx(2sinx+1)=0
cosx=0 or 2sinx+1=0
Now, cosx=0
x=(2n+1)2π,n∈Z
2sinx+1=0
sinx=−21=−sin6π=sin(π+6π)=sin67π
x=nπ+(−1)n67π,n∈Z
Therefore, the general solution is (2n+1)2π or nπ+(−1)n
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your answer is (= 0, ± 1, ± 2, ± 3--= 4)
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