What is the general solution for sqrt(2)csc(x)+2=4 ?

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

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sqrt(2)csc(x)+2=4

2 csc (x) + 2 = 4

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

Solution steps

2 csc (x) + 2 = 4

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

sec^{2} (θ) + 5 sec (θ) - 6 = 0

cos (x) = 0.75

cos (x) = 0.76

0 = 4 cos (2 x)

cos (x) + 2 sin (x) cos (x) = 0, 0 \leq x \leq 2 π

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