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

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

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sqrt(2)csc(x)-2=0

2 csc (x) - 2 = 0

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

Solution steps

2 csc (x) - 2 = 0

Move

2

to the right side

2 csc (x) = 2

Divide both sides by

2

csc (x) = 2

General solutions for

csc (x) = 2

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

90 = sin (x)

sin (2 x) csc (x) = 1, 0 \leq x \leq 2 π

tan (b) = 3

sin (x) = \frac{12}{16}

\frac{1}{tan ( x )} - 2 tan (x) = - \frac{1}{4}

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