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.
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multipleQuestions newQuestion tan60 plus cos 30 newAnswer The sum of tan(60°) and cos(30°) is approximately 2.598. 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.