What is the general solution for cos(2x)(sin(x)+(sqrt(2))/2)=0 ?

The general solution for cos(2x)(sin(x)+(sqrt(2))/2)=0 is x= pi/4+pin,x=(3pi)/4+pin

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cos(2x)(sin(x)+(sqrt(2))/2)=0

cos (2 x) (sin (x) + \frac{2}{2}) = 0

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

Solution steps

cos (2 x) (sin (x) + \frac{2}{2}) = 0

Solving each part separately

cos (2 x) = 0 or sin (x) + \frac{2}{2} = 0

cos (2 x) = 0 : x = \frac{π}{4} + πn, x = \frac{3 π}{4} + πn

sin (x) + \frac{2}{2} = 0 : x = \frac{5 π}{4} + 2 πn, x = \frac{7 π}{4} + 2 πn

Combine all the solutions

x = \frac{π}{4} + πn, x = \frac{3 π}{4} + πn, x = \frac{5 π}{4} + 2 πn, x = \frac{7 π}{4} + 2 πn

Merge Overlapping Intervals

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

5 sin (θ) = 5

2 sin (3 x) = 2, 0 \leq x \leq 2 π

7.9615 = 59.2153 cos (x) - 12 sin (x)

1 - tan (x) = 0

2 cos^{2} (x) - 3 cos (x) = 0, 0^{\circ} < x < 18 0^{\circ}

What is the general solution for cos(2x)(sin(x)+(sqrt(2))/2)=0 ?
The general solution for cos(2x)(sin(x)+(sqrt(2))/2)=0 is x= pi/4+pin,x=(3pi)/4+pin