What is the general solution for -6=-4+sec(x+pi/4) ?

The general solution for -6=-4+sec(x+pi/4) is x=2pin+(5pi)/(12),x=2pin+(13pi)/(12)

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-6=-4+sec(x+pi/4)

- 6 = - 4 + sec (x + \frac{π}{4})

x = 2 πn + \frac{5 π}{12}, x = 2 πn + \frac{13 π}{12}

Solution steps

- 6 = - 4 + sec (x + \frac{π}{4})

Switch sides

- 4 + sec (x + \frac{π}{4}) = - 6

Move

4

to the right side

sec (x + \frac{π}{4}) = - 2

General solutions for

sec (x + \frac{π}{4}) = - 2

x + \frac{π}{4} = \frac{2 π}{3} + 2 πn, x + \frac{π}{4} = \frac{4 π}{3} + 2 πn

Solve

x + \frac{π}{4} = \frac{2 π}{3} + 2 πn : x = 2 πn + \frac{5 π}{12}

Solve

x + \frac{π}{4} = \frac{4 π}{3} + 2 πn : x = 2 πn + \frac{13 π}{12}

x = 2 πn + \frac{5 π}{12}, x = 2 πn + \frac{13 π}{12}

2 sin^{2} (x) + 3 sin (x) = 2

tan (x) sec (x) + 3 tan (x) = 0

\frac{csc ( b )}{csc ( b )} = \frac{1}{1 - sin ^{2} ( b )}

3 sec (4 x) = 2

2 cos (x) - 1 = cos (2 x)

What is the general solution for -6=-4+sec(x+pi/4) ?
The general solution for -6=-4+sec(x+pi/4) is x=2pin+(5pi)/(12),x=2pin+(13pi)/(12)