What is the general solution for csc(x)= 7/3 ?

The general solution for csc(x)= 7/3 is x=0.44291…+2pin,x=pi-0.44291…+2pin

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csc(x)= 7/3

csc (x) = \frac{7}{3}

x = 0.44291 \dots + 2 πn, x = π - 0.44291 \dots + 2 πn

Solution steps

csc (x) = \frac{7}{3}

Apply trig inverse properties

x = arccsc (\frac{7}{3}) + 2 πn, x = π - arccsc (\frac{7}{3}) + 2 πn

Show solutions in decimal form

x = 0.44291 \dots + 2 πn, x = π - 0.44291 \dots + 2 πn

3 - cos (x) = 3 - sin (x)

cos (t) = \frac{1}{3}, 0 < t < \frac{1}{2} π

x, sin (x) - cos (x) = 1

x, sin (x) cos (y) = 1

sin (4 x) cos (7 x) - cos (4 x) sin (7 x) = - 0.6

What is the general solution for csc(x)= 7/3 ?
The general solution for csc(x)= 7/3 is x=0.44291…+2pin,x=pi-0.44291…+2pin