What is the general solution for 14=-3.75cos(pi/6 x)+11.25 ?

The general solution for 14=-3.75cos(pi/6 x)+11.25 is x=(6*2.39400…)/pi+12n,x=-(6*2.39400…)/pi+12n

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14=-3.75cos(pi/6 x)+11.25

14 = - 3.75 cos (\frac{π}{6} x) + 11.25

x = \frac{6 \cdot 2.39400 \dots}{π} + 12 n, x = - \frac{6 \cdot 2.39400 \dots}{π} + 12 n

Solution steps

14 = - 3.75 cos (\frac{π}{6} x) + 11.25

Switch sides

- 3.75 cos (\frac{π}{6} x) + 11.25 = 14

Multiply both sides by

100

- 375 cos (\frac{π}{6} x) + 1125 = 1400

Move

1125

to the right side

- 375 cos (\frac{π}{6} x) = 275

Divide both sides by

- 375

cos (\frac{π}{6} x) = - \frac{11}{15}

Apply trig inverse properties

\frac{π}{6} x = arccos (- \frac{11}{15}) + 2 πn, \frac{π}{6} x = - arccos (- \frac{11}{15}) + 2 πn

Solve

\frac{π}{6} x = arccos (- \frac{11}{15}) + 2 πn : x = \frac{6 arccos ( - \frac{11}{15} )}{π} + 12 n

Solve

\frac{π}{6} x = - arccos (- \frac{11}{15}) + 2 πn : x = - \frac{6 arccos ( - \frac{11}{15} )}{π} + 12 n

x = \frac{6 arccos ( - \frac{11}{15} )}{π} + 12 n, x = - \frac{6 arccos ( - \frac{11}{15} )}{π} + 12 n

Show solutions in decimal form

x = \frac{6 \cdot 2.39400 \dots}{π} + 12 n, x = - \frac{6 \cdot 2.39400 \dots}{π} + 12 n

x, f = sin (π \cdot ⌊ x ⌋)

(sin (x)) (tan (x) + 1) (cos (x) + 1) = 0

tan (3.87 x) = - 0.78

sin (2 x) = \frac{( 2 m - 4 )}{5}

34 sin (\frac{π}{6} (x - 43)) = 34

What is the general solution for 14=-3.75cos(pi/6 x)+11.25 ?
The general solution for 14=-3.75cos(pi/6 x)+11.25 is x=(6*2.39400…)/pi+12n,x=-(6*2.39400…)/pi+12n