What is the general solution for csc(x)=sqrt(10) ?

The general solution for csc(x)=sqrt(10) is x=0.32175…+2pin,x=pi-0.32175…+2pin

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csc(x)=sqrt(10)

csc (x) = 10

x = 0.32175 \dots + 2 πn, x = π - 0.32175 \dots + 2 πn

Degrees

x = 18.43494 \dots^{\circ} + 36 0^{\circ} n, x = 161.56505 \dots^{\circ} + 36 0^{\circ} n

Solution steps

csc (x) = 10

Apply trig inverse properties

csc (x) = 10

General solutions for

csc (x) = 10

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

x = arccsc (10) + 2 πn, x = π - arccsc (10) + 2 πn

x = arccsc (10) + 2 πn, x = π - arccsc (10) + 2 πn

Show solutions in decimal form

x = 0.32175 \dots + 2 πn, x = π - 0.32175 \dots + 2 πn

cos (x) = 0.308

31.21 = 40 sin (25 g)

tan (t) = \frac{7}{24}, 0 < t < \frac{π}{2}

cos^{2} (x) = 0.6

What is the general solution for csc(x)=sqrt(10) ?
The general solution for csc(x)=sqrt(10) is x=0.32175…+2pin,x=pi-0.32175…+2pin