What is the general solution for csc(x)= 3/2 ?

The general solution for csc(x)= 3/2 is x=0.72972…+2pin,x=pi-0.72972…+2pin

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csc(x)= 3/2

csc (x) = \frac{3}{2}

x = 0.72972 \dots + 2 πn, x = π - 0.72972 \dots + 2 πn

Degrees

x = 41.81031 \dots^{\circ} + 36 0^{\circ} n, x = 138.18968 \dots^{\circ} + 36 0^{\circ} n

Solution steps

csc (x) = \frac{3}{2}

Apply trig inverse properties

csc (x) = \frac{3}{2}

General solutions for

csc (x) = \frac{3}{2}

csc (x) = a \Rightarrow x = arccsc (a) + 2 πn, x = π - arccsc (a) + 2 πn

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

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

Show solutions in decimal form

x = 0.72972 \dots + 2 πn, x = π - 0.72972 \dots + 2 πn

2 cos (θ) - 1 = sec (θ)

tan (x) cot (x) - tan (x) + 2 cot (x) = 0

3 cos (x) - 6 sin (x) cos (x) = 0

3 cos (x) = 3

a, cos (a + b) = \frac{3}{2}

What is the general solution for csc(x)= 3/2 ?
The general solution for csc(x)= 3/2 is x=0.72972…+2pin,x=pi-0.72972…+2pin