What is the general solution for cos(x-pi/4)=(sqrt(3))/2 ?

The general solution for cos(x-pi/4)=(sqrt(3))/2 is x=2pin+(5pi)/(12),x=2pin+(25pi)/(12)

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cos(x-pi/4)=(sqrt(3))/2

cos (x - \frac{π}{4}) = \frac{3}{2}

x = 2 πn + \frac{5 π}{12}, x = 2 πn + \frac{25 π}{12}

Solution steps

cos (x - \frac{π}{4}) = \frac{3}{2}

General solutions for

cos (x - \frac{π}{4}) = \frac{3}{2}

x - \frac{π}{4} = \frac{π}{6} + 2 πn, x - \frac{π}{4} = \frac{11 π}{6} + 2 πn

Solve

x - \frac{π}{4} = \frac{π}{6} + 2 πn : x = 2 πn + \frac{5 π}{12}

Solve

x - \frac{π}{4} = \frac{11 π}{6} + 2 πn : x = 2 πn + \frac{25 π}{12}

x = 2 πn + \frac{5 π}{12}, x = 2 πn + \frac{25 π}{12}

sec (θ) = 3, sin (θ) < 0

cos (x) tan (x) - cos (x) = 0, 0 \leq x \leq 2 π

sin^{2} (2 θ) - 5 sin (2 θ) - 1 = 0

- \frac{π}{30} sin (\frac{π}{90} (x + 20)) = 0

sin (2 x) = - \frac{1}{2}

What is the general solution for cos(x-pi/4)=(sqrt(3))/2 ?
The general solution for cos(x-pi/4)=(sqrt(3))/2 is x=2pin+(5pi)/(12),x=2pin+(25pi)/(12)