What is the general solution for (csc(x))/5-2=0 ?

The general solution for (csc(x))/5-2=0 is x=0.10016…+2pin,x=pi-0.10016…+2pin

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(csc(x))/5-2=0

\frac{csc ( x )}{5} - 2 = 0

x = 0.10016 \dots + 2 πn, x = π - 0.10016 \dots + 2 πn

Solution steps

\frac{csc ( x )}{5} - 2 = 0

Move

2

to the right side

\frac{csc ( x )}{5} = 2

Multiply both sides by

5

csc (x) = 10

Apply trig inverse properties

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

Show solutions in decimal form

x = 0.10016 \dots + 2 πn, x = π - 0.10016 \dots + 2 πn

sin (4 y) + sin (6 y) + cos (y) = 0, 0 \leq y \leq \frac{π}{2}

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

cos (θ) = - \frac{35}{6}

5 cos (x) + 2 sin (x) = 0

5 cos (x) + 2 sin (x) = 2

What is the general solution for (csc(x))/5-2=0 ?
The general solution for (csc(x))/5-2=0 is x=0.10016…+2pin,x=pi-0.10016…+2pin