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EXAMPLE 1

Because tan A =. =. = 0.75,. = m A. tan –1 0.75. 1520. 34. Use a calculator tan –1 0.75 36.86989765. ANSWER. So, the measure of A is approximately 36.9 o. EXAMPLE 1. Use an inverse tangent to find an angle measure.

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EXAMPLE 1

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  1. Because tan A= = = 0.75, = mA tan–1 0.75 1520 34 Use a calculator tan–1 0.75 36.86989765. . . ANSWER So, the measure of Ais approximately 36.9o. EXAMPLE 1 Use an inverse tangent to find an angle measure Use a calculator to approximate the measure of A to the nearest tenth of a degree. SOLUTION

  2. sin A = 0.87 cos B = 0.15 a. b. a. mA mB 60.5o 81.4o b. EXAMPLE 2 Use an inverse sine and an inverse cosine Let Aand Bbe acute angles in a right triangle. Use a calculator to approximate the measures of Aand Bto the nearest tenth of a degree. SOLUTION = sin–1 0.87 = cos–1 0.15

  3. = = mC 2015 43 Use a calculator tan–1 1.33 53.1° Because tan C= = 1.333, tan–1 1.33 for Examples 1, and 2 GUIDED PRACTICE 1. Look back at Example 1. Use a calculator and an inverse tangent to approximate mCto the nearest tenth of a degree SOLUTION

  4. a. 32.7° = sin–1 0.54 mD for Examples 1, and 2 GUIDED PRACTICE 2. Find mDto the nearest tenth of a degree if sin D=0.54. SOLUTION

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