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Popular >

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

Solution

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

Solution

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

+1

Solution steps

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

Solving each part separately

sin (x) = 0 or 2 + 2 cos (x) = 0

sin (x) = 0 : x = 2 πn, x = π + 2 πn

2 + 2 cos (x) = 0 : x = \frac{3 π}{4} + 2 πn, x = \frac{5 π}{4} + 2 πn

Combine all the solutions

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

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sin(2x)=-5cos(2x)

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Frequently Asked Questions (FAQ)

What is the general solution for sin(x)(sqrt(2)+2cos(x))=0 ?
The general solution for sin(x)(sqrt(2)+2cos(x))=0 is x=2pin,x=pi+2pin,x=(3pi)/4+2pin,x=(5pi)/4+2pin