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Simplifying 17 = 25sin(wt) + 20cos(wt) Multiply ins * tw 17 = 25instw + 20cos(wt) Multiply cos * tw 17 = 25instw + 20costw Reorder the terms: 17 = 20costw + 25instw Solving 17 = 20costw + 25instw Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-20costw' to each side of the equation. 17 + -20costw = 20costw + -20costw + 25instw Combine like terms: 20costw + -20costw = 0 17 + -20costw = 0 + 25instw 17 + -20costw = 25instw Add '-17' to each side of the equation. 17 + -17 + -20costw = -17 + 25instw Combine like terms: 17 + -17 = 0 0 + -20costw = -17 + 25instw -20costw = -17 + 25instw Divide each side by '-20ostw'. c = 0.85o-1s-1t-1w-1 + -1.25ino-1 Simplifying c = 0.85o-1s-1t-1w-1 + -1.25ino-1 Reorder the terms: c = -1.25ino-1 + 0.85o-1s-1t-1w-1
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