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Simplifying 25sin(wt) + 20cos(wt) = 17 Multiply ins * tw 25instw + 20cos(wt) = 17 Multiply cos * tw 25instw + 20costw = 17 Reorder the terms: 20costw + 25instw = 17 Solving 20costw + 25instw = 17 Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-25instw' to each side of the equation. 20costw + 25instw + -25instw = 17 + -25instw Combine like terms: 25instw + -25instw = 0 20costw + 0 = 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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