What is the general solution for 30=30cos(1/4 (x-5))+15 ?

The general solution for 30=30cos(1/4 (x-5))+15 is x=(4pi)/3+8pin+5,x=(20pi)/3+8pin+5

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30=30cos(1/4 (x-5))+15

30 = 30 cos (\frac{1}{4} (x - 5)) + 15

x = \frac{4 π}{3} + 8 πn + 5, x = \frac{20 π}{3} + 8 πn + 5

Solution steps

30 = 30 cos (\frac{1}{4} (x - 5)) + 15

Switch sides

30 cos (\frac{1}{4} (x - 5)) + 15 = 30

Move

15

to the right side

30 cos (\frac{1}{4} (x - 5)) = 15

Divide both sides by

30

cos (\frac{1}{4} (x - 5)) = \frac{1}{2}

General solutions for

cos (\frac{1}{4} (x - 5)) = \frac{1}{2}

\frac{1}{4} (x - 5) = \frac{π}{3} + 2 πn, \frac{1}{4} (x - 5) = \frac{5 π}{3} + 2 πn

Solve

\frac{1}{4} (x - 5) = \frac{π}{3} + 2 πn : x = \frac{4 π}{3} + 8 πn + 5

Solve

\frac{1}{4} (x - 5) = \frac{5 π}{3} + 2 πn : x = \frac{20 π}{3} + 8 πn + 5

x = \frac{4 π}{3} + 8 πn + 5, x = \frac{20 π}{3} + 8 πn + 5

sec (x) sin^{2} (x) = sec (x)

cos (θ) = - 0.07

cos (θ) = - 0.29

sin (x) - 7 = cos (x) - 7

tan (a) = \frac{15}{8}

What is the general solution for 30=30cos(1/4 (x-5))+15 ?
The general solution for 30=30cos(1/4 (x-5))+15 is x=(4pi)/3+8pin+5,x=(20pi)/3+8pin+5