What is the general solution for 2csc(x)+17=15+csc(x) ?

The general solution for 2csc(x)+17=15+csc(x) is x=(7pi)/6+2pin,x=(11pi)/6+2pin

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2csc(x)+17=15+csc(x)

2 csc (x) + 17 = 15 + csc (x)

x = \frac{7 π}{6} + 2 πn, x = \frac{11 π}{6} + 2 πn

Solution steps

2 csc (x) + 17 = 15 + csc (x)

Solve by substitution

csc (x) = - 2

csc (x) = - 2 : x = \frac{7 π}{6} + 2 πn, x = \frac{11 π}{6} + 2 πn

Combine all the solutions

x = \frac{7 π}{6} + 2 πn, x = \frac{11 π}{6} + 2 πn

cos (x) - sin (x) = 2

cot (θ) = (5.8473)

6 = 2 + 5 arctan (\frac{x}{2})

tan^{2} (θ) - 2 sec (θ) = 2

- sin (B) - 4 = 3 sin (B) - 5

What is the general solution for 2csc(x)+17=15+csc(x) ?
The general solution for 2csc(x)+17=15+csc(x) is x=(7pi)/6+2pin,x=(11pi)/6+2pin