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
Ili kubaini kipindi na pembe ya awamu ya kazi ya trigonometric y = A(Bx - C) + D, tunatumia fomula zifuatazo: • Kipindi (Period) = (360^)/(|B|) • Pembe ya Awamu (Phase Angle) = (C)/(B) Kazi uliyopewa ni y = 6((x)/(2) - 90^). Kwa kulinganisha na fomu ya jumla, tunaona: A = 6 B = (1)/(2) C = 90^ Step 1: Bainisha thamani ya B. Kutoka kwa kazi, B = (1)/(2). Step 2: Kokotoa kipindi. Kipindi = (360^)/(|B|) = (360^)/(|1)2| = (360^)/(1)2 = 360^ × 2 = 720^ Step 3: Bainisha thamani ya C. Kutoka kwa kazi, C = 90^. Step 4: Kokotoa pembe ya awamu. Pembe ya Awamu = (C)/(B) = (90^)/(1)2 = 90^ × 2 = 180^ Kipindi ni 720^ na pembe ya awamu ni 180^. Tuma swali linalofuata 📸