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Popular >

4sin^2(2x)+2=3

Solution

4 sin^{2} (2 x) + 2 = 3

Solution

x = \frac{π}{12} + πn, x = \frac{5 π}{12} + πn, x = \frac{7 π}{12} + πn, x = \frac{11 π}{12} + πn

+1

Solution steps

4 sin^{2} (2 x) + 2 = 3

Solve by substitution

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

sin (2 x) = \frac{1}{2} : x = \frac{π}{12} + πn, x = \frac{5 π}{12} + πn

sin (2 x) = - \frac{1}{2} : x = \frac{7 π}{12} + πn, x = \frac{11 π}{12} + πn

Combine all the solutions

x = \frac{π}{12} + πn, x = \frac{5 π}{12} + πn, x = \frac{7 π}{12} + πn, x = \frac{11 π}{12} + πn

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