Converting From Degrees to Radians In Exercises 63-66, rewrite each angle in radian measure as a multiple of 7. (Do not use a calculator.) 65. (a) 18° (b) - 240°
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- Converting from Degrees to Radians In Exercises 35 and 36, convert each degree measure to radian measure as a multiple of . Do not use a calculator. (a) 120 (b) 20Converting from Radians to Degrees In Exercises 37 and 38, convert each radian measure to degree measure. Do not use a calculator. (a) 32 (b) 76Converting from Degrees to Radians In Exercises 39-42, convert the degree measure to radian measure. Round to three decimal places. 48.27
- Finding the Angle of Elevation of the Sun At 10 amon April 26, 2009, a building 300 feet high cast a shadow50 feet long. What was the angle of elevation of the Sun?Using the Law of Sines In Exercises5–22, use the Law of Sines to solve the triangle.Round your answers to two decimal places.True or False? In Exercises 55–58, determine whether the statement is true or false. Justify your answer. 55. If a triangle contains an obtuse angle, then it must be oblique.56. Two angles and one side of a triangle do not necessarily determine a unique triangle. 57. When you know the three angles of an oblique triangle, you can solve the triangle. 58. The ratio of any two sides of a triangle is equal to the ratio of the sines of the opposite angles of the two sides. 59. Error Analysis Describe the error. The area of the triangle with C = 58°, b = 11 feet, and c = 16 feet is Area = 1 2 (11)(16)(sin 58°) = 88(sin 58°) ≈ 74.63 square feet.
- An airplane flies at an altitude of y= 3 miles toward a point directly over an observer. The speed of the plane is 60” miles per hour. Find the rates ( in radians per hour) at which the angle of elevation is changing when the angle is 45 degrees? 60 degrees? And 70 degrees?Verifying a Trigonometric Identity InExercises 57–60, verify the identity.Evaluating Trigonometric FunctionsIn Exercises 9–12, find the exact values of thesix trigonometric functions of each angle θ.
- Arcsine and ArccosineIn Exercises 71–74, find the exact value of each expression.angle of elevation from point A on the ground to the top of a 225-foot cell phone tower is 65°. Determine the distance from point A to the top of the cell phone tower.Evaluating an Inverse TrigonometricFunction In Exercises 77–80, find the exact value ofthe expression.77. arcsin(−1)78. cos−1 179. arccot √380. arcsec(−√2)