What is the general solution for 6csc(θ)-6=0 ?

The general solution for 6csc(θ)-6=0 is θ= pi/2+2pin

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6csc(θ)-6=0

6 csc (θ) - 6 = 0

θ = \frac{π}{2} + 2 πn

Degrees

θ = 9 0^{\circ} + 36 0^{\circ} n

Solution steps

6 csc (θ) - 6 = 0

Move

6

to the right side

6 csc (θ) - 6 = 0

Add

6

to both sides

6 csc (θ) - 6 + 6 = 0 + 6

Simplify

6 csc (θ) = 6

6 csc (θ) = 6

Divide both sides by

6

6 csc (θ) = 6

Divide both sides by

6

\frac{6 csc ( θ )}{6} = \frac{6}{6}

Simplify

csc (θ) = 1

csc (θ) = 1

General solutions for

csc (θ) = 1

csc (x)

periodicity table with

2 πn

cycle:

x 0 \frac{π}{6} \frac{π}{4} \frac{π}{3} \frac{π}{2} \frac{2 π}{3} \frac{3 π}{4} \frac{5 π}{6} csc (x) Undefiend 22 \frac{2 3}{3} 1 \frac{2 3}{3} 22 x π \frac{7 π}{6} \frac{5 π}{4} \frac{4 π}{3} \frac{3 π}{2} \frac{5 π}{3} \frac{7 π}{4} \frac{11 π}{6} csc (x) Undefiend - 2 - 2 - \frac{2 3}{3} - 1 - \frac{2 3}{3} - 2 - 2

θ = \frac{π}{2} + 2 πn

θ = \frac{π}{2} + 2 πn

9 sin (x) tan (x) + 4 tan (x) = 0

x, f [g] = cos (\frac{1}{x ^{2}})

2 cos (\frac{π}{5} θ) = 3

2 cos (x) - sin (2 x) = 0

sin (x) tan (x) - 6 tan (x) = 0

What is the general solution for 6csc(θ)-6=0 ?
The general solution for 6csc(θ)-6=0 is θ= pi/2+2pin