This physics problem tests your understanding of fundamental physical laws and their applications. The step-by-step solution below breaks down the problem using relevant equations and physical reasoning.
ScanSolve AI Answer
Hapa kuna hatua za kukamilisha jedwali: Step 1: Kokotoa thamani zinazokosekana kwa 2x. Tunatumia fomula y = 2x kwa kila thamani ya x. Kwa x = 60^: (2 × 60^) = (120^) = sqrt(3)2 ≈ 0.87 Kwa x = 90^: (2 × 90^) = (180^) = 0.00 Kwa x = 150^: (2 × 150^) = (300^) = -sqrt(3)2 ≈ -0.87 Kwa x = 270^: (2 × 270^) = (540^) = (180^) = 0.00 Kwa x = 300^: (2 × 300^) = (600^) = (240^) = -sqrt(3)2 ≈ -0.87 Kwa x = 330^: (2 × 330^) = (660^) = (300^) = -sqrt(3)2 ≈ -0.87 Step 2: Kokotoa thamani zinazokosekana kwa 3 x - 2. Tunatumia fomula y = 3 x - 2 kwa kila thamani ya x. Kwa x = 60^: 3 (60^) - 2 = 3(0.5) - 2 = 1.5 - 2 = -0.50 Kwa x = 180^: 3 (180^) - 2 = 3(-1) - 2 = -3 - 2 = -5.00 Kwa x = 240^: 3 (240^) - 2 = 3(-0.5) - 2 = -1.5 - 2 = -3.50 Kwa x = 270^: 3 (270^) - 2 = 3(0) - 2 = -2.00 Kwa x = 330^: 3 (330^) - 2 = 3(sqrt(3)2) - 2 ≈ 3(0.8660) - 2 = 2.598 - 2 = 0.598 ≈ 0.60 Step 3: Kamilisha jedwali kwa kutumia thamani zote zilizokokotolewa. Jedwali lililokamilika ni: |c|c|c|c|c|c|c|c|c|c|c|c|c|c| x^ & 0 & 30 & 60 & 90 & 120 & 150 & 180 & 210 & 240 & 270 & 300 & 330 & 360 \\ Sin 2x & 0.00 & 0.87 & 0.87 & 0.00 & -0.87 & -0.87 & 0.00 & 0.87 & 0.87 & 0.00 & -0.87 & -0.87 & 0.00 \\ 3 x - 2 & 1.00 & 0.60 & -0.50 & -2.00 & -3.50 & -4.60 & -5.00 & -4.60 & -3.50 & -2.00 & -0.50 & 0.60 & 1.00 \\ Tuma swali linalofuata 📸