Remove Parentheses: \(3\sen x + 1) - (3\sen x - [5\sen x - 4])\ First, we need to remove the parentheses, starting with the innermost set. \(3\sen x + 1) - (3\sen x - 5\sen x + 4) = 3\sen x + 1 - 3\sen x + 5\sen x - 4
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)
Combine Like Terms: 3\sen x - 3\sen x + 5\sen x + 1−4Simplify the expression by combining like terms.0\sen x + 5\sen x + −3
Simplify Expression: 0\sen x + 5\sen x - 3Since 0\sen x is 0, it can be removed from the expression.5\sen x - 3