10=11.4+3.2*cos(30t)

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Solution for 10=11.4+3.2*cos(30t) equation: 


Simplifying
10 = 11.4 + 3.2cos(30t)

Remove parenthesis around (30t)
10 = 11.4 + 3.2cos * 30t

Reorder the terms for easier multiplication:
10 = 11.4 + 3.2 * 30cos * t

Multiply 3.2 * 30
10 = 11.4 + 96cos * t

Multiply cos * t
10 = 11.4 + 96cost

Solving
10 = 11.4 + 96cost

Solving for variable 'c'.

Move all terms containing c to the left, all other terms to the right.

Add '-96cost' to each side of the equation.
10 + -96cost = 11.4 + 96cost + -96cost

Combine like terms: 96cost + -96cost = 0
10 + -96cost = 11.4 + 0
10 + -96cost = 11.4

Add '-10' to each side of the equation.
10 + -10 + -96cost = 11.4 + -10

Combine like terms: 10 + -10 = 0
0 + -96cost = 11.4 + -10
-96cost = 11.4 + -10

Combine like terms: 11.4 + -10 = 1.4
-96cost = 1.4

Divide each side by '-96ost'.
c = -0.01458333333o-1s-1t-1

Simplifying
c = -0.01458333333o-1s-1t-1

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