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

The general solution for csc(x)= 5/4 is x=0.92729…+2pin,x=pi-0.92729…+2pin

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csc(x)= 5/4

csc (x) = \frac{5}{4}

x = 0.92729 \dots + 2 πn, x = π - 0.92729 \dots + 2 πn

Degrees

x = 53.13010 \dots^{\circ} + 36 0^{\circ} n, x = 126.86989 \dots^{\circ} + 36 0^{\circ} n

Solution steps

csc (x) = \frac{5}{4}

Apply trig inverse properties

csc (x) = \frac{5}{4}

General solutions for

csc (x) = \frac{5}{4}

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

x = arccsc (\frac{5}{4}) + 2 πn, x = π - arccsc (\frac{5}{4}) + 2 πn

x = arccsc (\frac{5}{4}) + 2 πn, x = π - arccsc (\frac{5}{4}) + 2 πn

Show solutions in decimal form

x = 0.92729 \dots + 2 πn, x = π - 0.92729 \dots + 2 πn

3 cos (2 θ) = 9 cos (θ) - 6

4 sin (\frac{x}{3}) - 3 = 0

0 = sin (c)

sin (θ) = - \frac{5}{13}, sec (θ)

3 cosh (x) + 5 sinh (x) = - 3

What is the general solution for csc(x)= 5/4 ?
The general solution for csc(x)= 5/4 is x=0.92729…+2pin,x=pi-0.92729…+2pin