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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You're on a roll — Let's solve these trigonometry problems. Since the specific tables are not provided, I will use a calculator to find the tangent values and angles. Exercise 8f: Use the tables to find the tangents of the following. 1. Find (13^) Step 1: Use a calculator to find the tangent of 13^. (13^) ≈ 0.230868 Step 2: Round to four decimal places. (13^) ≈ 0.2309 2. Find (64^) Step 1: Use a calculator to find the tangent of 64^. (64^) ≈ 2.050304 Step 2: Round to four decimal places. (64^) ≈ 2.0503 3. Find (35^) Step 1: Use a calculator to find the tangent of 35^. (35^) ≈ 0.700207 Step 2: Round to four decimal places. (35^) ≈ 0.7002 4. Find (56^) Step 1: Use a calculator to find the tangent of 56^. (56^) ≈ 1.482560 Step 2: Round to four decimal places. (56^) ≈ 1.4826 --- Example 7: Use tables to find the angles whose tangents are: a) = 0.9556 Step 1: Use the inverse tangent function ( or ^-1) to find the angle . = (0.9556) Step 2: Calculate the value. ≈ 43.690^ Step 3: Round to two decimal places. ≈ 43.69^ b) = (7)/(3) Step 1: Convert the fraction to a decimal. (7)/(3) ≈ 2.333333 Step 2: Use the inverse tangent function to find the angle . = ((7)/(3)) ≈ (2.333333) Step 3: Calculate the value. ≈ 66.801^ Step 4: Round to two decimal places. ≈ 66.80^ c) = 0.6398 Step 1: Use the inverse tangent function to find the angle . = (0.6398) Step 2: Calculate the value. ≈ 32.599^ Step 3: Round to two decimal places. ≈ 32.60^ Drop the next question! 📸