What is the general solution for csc(x)-sqrt(2)=0 ?

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

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csc(x)-sqrt(2)=0

csc (x) - 2 = 0

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

Solution steps

csc (x) - 2 = 0

Move

2

to the right side

csc (x) = 2

General solutions for

csc (x) = 2

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

sin (θ) = - \frac{68}{9}

sec (θ) = 6

tan (2 x - \frac{π}{3}) = - 3

3 sin^{2} (2 θ) + 8 cos (2 θ) = 0

cos (2 x - \frac{π}{3}) = \frac{1}{2}

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