17=25sin(628.32t)+20cos(628.32t)

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Solution for 17=25sin(628.32t)+20cos(628.32t) equation:


Simplifying
17 = 25sin(628.32t) + 20cos(628.32t)

Remove parenthesis around (628.32t)
17 = 25ins * 628.32t + 20cos(628.32t)

Reorder the terms for easier multiplication:
17 = 25 * 628.32ins * t + 20cos(628.32t)

Multiply 25 * 628.32
17 = 15708ins * t + 20cos(628.32t)

Multiply ins * t
17 = 15708inst + 20cos(628.32t)

Remove parenthesis around (628.32t)
17 = 15708inst + 20cos * 628.32t

Reorder the terms for easier multiplication:
17 = 15708inst + 20 * 628.32cos * t

Multiply 20 * 628.32
17 = 15708inst + 12566.4cos * t

Multiply cos * t
17 = 15708inst + 12566.4cost

Reorder the terms:
17 = 12566.4cost + 15708inst

Solving
17 = 12566.4cost + 15708inst

Solving for variable 'c'.

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

Add '-12566.4cost' to each side of the equation.
17 + -12566.4cost = 12566.4cost + -12566.4cost + 15708inst

Combine like terms: 12566.4cost + -12566.4cost = 0.0
17 + -12566.4cost = 0.0 + 15708inst
17 + -12566.4cost = 15708inst

Add '-17' to each side of the equation.
17 + -17 + -12566.4cost = -17 + 15708inst

Combine like terms: 17 + -17 = 0
0 + -12566.4cost = -17 + 15708inst
-12566.4cost = -17 + 15708inst

Divide each side by '-12566.4ost'.
c = 0.001352813853o-1s-1t-1 + -1.25ino-1

Simplifying
c = 0.001352813853o-1s-1t-1 + -1.25ino-1

Reorder the terms:
c = -1.25ino-1 + 0.001352813853o-1s-1t-1

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