What is the general solution for cos(-(pi/6)-2x)=1 ?

The general solution for cos(-(pi/6)-2x)=1 is x=-pin-pi/(12)

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cos(-(pi/6)-2x)=1

cos (- (\frac{π}{6}) - 2 x) = 1

x = - πn - \frac{π}{12}

Solution steps

cos (- (\frac{π}{6}) - 2 x) = 1

General solutions for

cos (- \frac{π}{6} - 2 x) = 1

- \frac{π}{6} - 2 x = 0 + 2 πn

Solve

- \frac{π}{6} - 2 x = 0 + 2 πn : x = - πn - \frac{π}{12}

x = - πn - \frac{π}{12}

csc (x) = 6

(sin (x))^{s i n (x)} = 2

cos^{2} (x) + \frac{1}{2} + sin^{2} (x) + \frac{1}{2} = 2

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

\frac{1}{2} tan^{2} (x) = 1 - sec (x)

What is the general solution for cos(-(pi/6)-2x)=1 ?
The general solution for cos(-(pi/6)-2x)=1 is x=-pin-pi/(12)