534 Chapter 4 Trigonometric Functions In Exercises 3538 use

534 Chapter 4 Trigonometric Functions In Exercises 35-38, use a calculator to find the value of the acute angle to the nearest degree. 35, sin = 0.2974 37. tan = 4.6252 36, cos = 0.8771 38, tan = 26.0307 In Exercises 39-42, use a calculator to find the value of the acute angle in radians, rounded to three decimal places. 39, cos = 0.4112 41. tan = 0.4169 40. sin = 0.9499 42, tan = 0.5117

Solution

35) sin theta = 0.2974

theta = sin^-1 ( 0.2974)

theta = 17 degrees

36) cos theta = 0.8771

theta = cos^-1 ( 0.8771)

theta = 29 degrees

37) tan theta = 4.6252

theta = tan^-1 ( 4.6252)

theta = 78 degrees

38) tan theta = 26.0307

theta = tan^-1 ( 26.0307)

theta = 88 degrees