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Evaluate.\newlinesin0+cos72\sin 0 + \cos 72

Full solution

Q. Evaluate.\newlinesin0+cos72\sin 0 + \cos 72
  1. Find sin(0)\sin(0): We need to find the value of sin(0)\sin(0) degrees. The sine of 00 degrees is a known value.\newlineCalculation: sin(0)=0\sin(0) = 0
  2. Find cos(72)\cos(72): Now we need to find the value of cos(72)\cos(72) degrees. The cosine of 7272 degrees is not a commonly memorized value, but it can be found using a calculator or trigonometric tables.\newlineCalculation: cos(72)0.309\cos(72) \approx 0.309
  3. Add values: We add the values of sin(0)\sin(0) and cos(72)\cos(72) to find the final answer.\newlineCalculation: 0+0.309=0.3090 + 0.309 = 0.309