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(3sen x+1)-(3sen x-[5sen x-4])

(3senx+1)(3senx[5senx4]) (3 \operatorname{sen} x+1)-(3 \operatorname{sen} x-[5 \operatorname{sen} x-4])

Full solution

Q. (3senx+1)(3senx[5senx4]) (3 \operatorname{sen} x+1)-(3 \operatorname{sen} x-[5 \operatorname{sen} x-4])
  1. Remove Parentheses: \(3\sen x + 11) - (33\sen x - [55\sen x - 44])\ First, we need to remove the parentheses, starting with the innermost set. \(3\sen x + 11) - (33\sen x - 55\sen x + 44) = 33\sen x + 11 - 33\sen x + 55\sen x - 44
  2. Group Like Terms: 3\sen x + 1 - 3\sen x + 5\sen x - 4 Now, we group the like terms, which are the trigonometric terms with \sen x and the constant terms. (3\sen x - 3\sen x + 5\sen x) + (1 - 4)
  3. Combine Like Terms: 3\sen x - 3\sen x + 5\sen x + 141 - 4\newlineSimplify the expression by combining like terms.\newline0\sen x + 5\sen x + 3 -3
  4. Simplify Expression: 0\sen x + 5\sen x - 3\newlineSince 0\sen x is 00, it can be removed from the expression.\newline5\sen x - 3

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