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Popular >

2sin^2(x)+(-2-sqrt(2))sin(x)+sqrt(2)=0

Solution

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

Solution

x = \frac{π}{2} + 2 πn, x = \frac{π}{4} + 2 πn, x = \frac{3 π}{4} + 2 πn

+1

Solution steps

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

Solve by substitution

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

sin (x) = 1 : x = \frac{π}{2} + 2 πn

sin (x) = \frac{2}{2} : x = \frac{π}{4} + 2 πn, x = \frac{3 π}{4} + 2 πn

Combine all the solutions

x = \frac{π}{2} + 2 πn, x = \frac{π}{4} + 2 πn, x = \frac{3 π}{4} + 2 πn

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