What is the general solution for csc(x)=1.5 ?

The general solution for csc(x)=1.5 is x=0.72972…+2pin,x=pi-0.72972…+2pin

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csc(x)=1.5

csc (x) = 1.5

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

Solution steps

csc (x) = 1.5

Apply trig inverse properties

x = arccsc (1.5) + 2 πn, x = π - arccsc (1.5) + 2 πn

Show solutions in decimal form

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

tan (t) = 0

cos (\frac{θ}{2}) = \frac{1}{2}

\frac{2}{3} cos (3 θ) = 1

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

tan (x) = - 0.5

What is the general solution for csc(x)=1.5 ?
The general solution for csc(x)=1.5 is x=0.72972…+2pin,x=pi-0.72972…+2pin