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 Because.

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Presentation transcript:

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 Because tan A = == 0.75, tan – = m A Use a calculator tan – ANSWER So, the measure of A is approximately 36.9 o.

EXAMPLE 2 Use an inverse sine and an inverse cosine Let A and B be acute angles in a right triangle. Use a calculator to approximate the measures of A and B to the nearest tenth of a degree. a. sin A = 0.87 b. cos B = 0.15 SOLUTION a. m A = sin – o b. m B = cos – o

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

GUIDED PRACTICE for Examples 1, and 2 2. Find m D to the nearest tenth of a degree if sin D = SOLUTION a. m D = sin – °