What is the general solution for csc(x)= 13/5 ?

The general solution for csc(x)= 13/5 is x=0.39479…+2pin,x=pi-0.39479…+2pin

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csc(x)= 13/5

csc (x) = \frac{13}{5}

x = 0.39479 \dots + 2 πn, x = π - 0.39479 \dots + 2 πn

Degrees

x = 22.61986 \dots^{\circ} + 36 0^{\circ} n, x = 157.38013 \dots^{\circ} + 36 0^{\circ} n

Solution steps

csc (x) = \frac{13}{5}

Apply trig inverse properties

csc (x) = \frac{13}{5}

General solutions for

csc (x) = \frac{13}{5}

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

x = arccsc (\frac{13}{5}) + 2 πn, x = π - arccsc (\frac{13}{5}) + 2 πn

x = arccsc (\frac{13}{5}) + 2 πn, x = π - arccsc (\frac{13}{5}) + 2 πn

Show solutions in decimal form

x = 0.39479 \dots + 2 πn, x = π - 0.39479 \dots + 2 πn

6 csc (θ) + 7 = 0

cos (2 x) + cos (x) = 0, 0 \leq x \leq 2 π

cos (5 x) cos (3 x) - sin (5 x) sin (3 x) = \frac{3}{2}

- 6 sin (2 x) = 0

sin (3 x) - 1 = 0

What is the general solution for csc(x)= 13/5 ?
The general solution for csc(x)= 13/5 is x=0.39479…+2pin,x=pi-0.39479…+2pin