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Popular >

2sin^{(2)}(x)-3sin(x)+1=0

Solution

2 sin^{(2)} (x) - 3 sin (x) + 1 = 0

Solution

x = \frac{π}{2} + 2 πn, x = \frac{π}{6} + 2 πn, x = \frac{5 π}{6} + 2 πn

+1

Solution steps

2 sin^{(2)} (x) - 3 sin (x) + 1 = 0

Solve by substitution

sin (x) = 1, sin (x) = \frac{1}{2}

sin (x) = 1 : x = \frac{π}{2} + 2 πn

sin (x) = \frac{1}{2} : x = \frac{π}{6} + 2 πn, x = \frac{5 π}{6} + 2 πn

Combine all the solutions

x = \frac{π}{2} + 2 πn, x = \frac{π}{6} + 2 πn, x = \frac{5 π}{6} + 2 πn

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Frequently Asked Questions (FAQ)

What is the general solution for 2sin^{(2)}(x)-3sin(x)+1=0 ?
The general solution for 2sin^{(2)}(x)-3sin(x)+1=0 is x= pi/2+2pin,x= pi/6+2pin,x=(5pi)/6+2pin