What is the general solution for 4csc(x)-5=3 ?

The general solution for 4csc(x)-5=3 is x= pi/6+2pin,x=(5pi)/6+2pin

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4csc(x)-5=3

4 csc (x) - 5 = 3

x = \frac{π}{6} + 2 πn, x = \frac{5 π}{6} + 2 πn

Solution steps

4 csc (x) - 5 = 3

Move

5

to the right side

4 csc (x) = 8

Divide both sides by

4

csc (x) = 2

General solutions for

csc (x) = 2

x = \frac{π}{6} + 2 πn, x = \frac{5 π}{6} + 2 πn

sin (x) + 1 = 2 sin (x)

1 - 2 sin^{2} (x) - sin (x) = 0

2 sin (x) cos (x) = 3 cos (x)

cos (x) sin (2 x) = 0

arcsin (x) - arccos (x) = arcsin (3 x - 2)

What is the general solution for 4csc(x)-5=3 ?
The general solution for 4csc(x)-5=3 is x= pi/6+2pin,x=(5pi)/6+2pin