What is the general solution for cos((7pi)/8-x)=(sqrt(2))/2 ?

The general solution for cos((7pi)/8-x)=(sqrt(2))/2 is x=-2pin+(5pi)/8 ,x=-2pin-(7pi)/8

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cos((7pi)/8-x)=(sqrt(2))/2

cos (\frac{7 π}{8} - x) = \frac{2}{2}

x = - 2 πn + \frac{5 π}{8}, x = - 2 πn - \frac{7 π}{8}

Solution steps

cos (\frac{7 π}{8} - x) = \frac{2}{2}

General solutions for

cos (\frac{7 π}{8} - x) = \frac{2}{2}

\frac{7 π}{8} - x = \frac{π}{4} + 2 πn, \frac{7 π}{8} - x = \frac{7 π}{4} + 2 πn

Solve

\frac{7 π}{8} - x = \frac{π}{4} + 2 πn : x = - 2 πn + \frac{5 π}{8}

Solve

\frac{7 π}{8} - x = \frac{7 π}{4} + 2 πn : x = - 2 πn - \frac{7 π}{8}

x = - 2 πn + \frac{5 π}{8}, x = - 2 πn - \frac{7 π}{8}

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

5 tan (2 x) - 5 cot (x) = 0

sec (x) = 1.742506

arctan (x) = \frac{3}{4}

6 cos (x) = 6 - 6 cos (x)

What is the general solution for cos((7pi)/8-x)=(sqrt(2))/2 ?
The general solution for cos((7pi)/8-x)=(sqrt(2))/2 is x=-2pin+(5pi)/8 ,x=-2pin-(7pi)/8