Tan60 plus cos 30

Steps:

1. Recall the exact values of tan(60°) and cos(30°):
   • tan(60°) = √3
   • cos(30°) = √3 / 2
2. Add the two values:
   • tan(60°) + cos(30°) = √3 + (√3 / 2)
3. Find a common denominator:
   • √3 + (√3 / 2) = (2√3 / 2) + (√3 / 2)
4. Combine the terms:
   • (2√3 + √3) / 2 = 3√3 / 2
5. Calculate the approximate numerical value:
   • √3 ≈ 1.73205
   • (3 * 1.73205) / 2 ≈ 5.19615 / 2 ≈ 2.598075

Therefore, tan(60°) + cos(30°) = 3√3 / 2 ≈ 2.598.