This mathematics problem involves applying core mathematical principles and formulas. Below you will find a complete step-by-step solution with detailed explanations for each step, helping you understand not just the answer but the method behind it.
ScanSolve AI Answer
Step 1: Isolate the cosine term. We are given the equation: 3(2x) + 9 = -13 Subtract 9 from both sides: 3(2x) = -13 - 9 3(2x) = -22 Divide by 3: (2x) = -(22)/(3) Step 2: Evaluate the value of (2x). The value -(22)/(3) is approximately -7.33. Step 3: Check the range of the cosine function. The range of the cosine function is [-1, 1]. This means that for any real angle , -1 () 1. Step 4: Determine if a solution exists. Since -(22)/(3) is less than -1, it falls outside the possible range of values for (2x). Therefore, there is no real angle 2x for which (2x) = -(22)/(3). Conclusion: There are no solutions for x in the given range 0^ x < 360^. No solution