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3x¹3 5,₁ X13 +39 + 3. Determine the exact radian measure of each angle. (a) 125° (b) 80° (c) 16° 4. A wheel of a child's car revolves at 15 revolutions per minute. Determine the angular velocity of the wheel in: (a) degrees per second (b) radians per second 5. Determine an exact value for each expression. sin tan * csc (b) sec 4 cot 5-tan ³* FE 6. Shari and 'Leo are standing 36 m apart and facing each other. If Shari looks upward, the angle of elevation of a hot air balloon in the sky is radians and from Leo the angle of elevation is radians. Calculate the height of the hot air balloon from the ground, to the nearest tenth of a metre. (a) sin cos + cos sin 7. Use an appropriate compound angle formula to express as a single trigonometric function, and then determine an exact value for each. (b) sin cos (c) cos 10 cos (b) sin 13 (c) sin ¹9 (d) cos 23 8. Use an appropriate compound angle formula to determine an exact value for each. (a) cos (a) cos r 9. Angle z is located in the second quadrant and angle y is located in the first quadrant such that sin z = and cos y Determine an exact value for: 1 (b) sin y (c) sin(x + y) 1/2 G 7 √2 (d) sin(x - y) (e) cos(x + y) (f) cos(x - y) 12x5 13 15 x5 √3/2 - cos sin is + sin 10 sin NE 60 +

3x¹3 5,₁ X13 +39 + 3. Determine the exact radian measure of each angle. (a) 125° (b) 80° (c) 16° 4. A wheel of a child's car revolves at 15 revolutions per minute. Determine the angular velocity of the wheel in: (a) degrees per second (b) radians per second 5. Determine an exact value for each expression. sin tan * csc (b) sec 4 cot 5-tan ³* FE 6. Shari and 'Leo are standing 36 m apart and facing each other. If Shari looks upward, the angle of elevation of a hot air balloon in the sky is radians and from Leo the angle of elevation is radians. Calculate the height of the hot air balloon from the ground, to the nearest tenth of a metre. (a) sin cos + cos sin 7. Use an appropriate compound angle formula to express as a single trigonometric function, and then determine an exact value for each. (b) sin cos (c) cos 10 cos (b) sin 13 (c) sin ¹9 (d) cos 23 8. Use an appropriate compound angle formula to determine an exact value for each. (a) cos (a) cos r 9. Angle z is located in the second quadrant and angle y is located in the first quadrant such that sin z = and cos y Determine an exact value for: 1 (b) sin y (c) sin(x + y) 1/2 G 7 √2 (d) sin(x - y) (e) cos(x + y) (f) cos(x - y) 12x5 13 15 x5 √3/2 - cos sin is + sin 10 sin NE 60 +

Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter6: The Trigonometric Functions
Section6.2: Trigonometric Functions Of Angles
Problem 2E
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3x¹3 5,₁ x 13 *39 (5 t 3. Determine the exact radian measure of each angle. (a) 125° (b) 80° (c) 16° 4. A wheel of a child's car revolves at 15 revolutions per minute. Determine the angular velocity of the wheel in: (a) degrees per second (b) radians per second 5. Determine an exact value for each expression. sin tan * (a) csc (b) sec 4 cot 5tan ³ 6. Shari and 'Leo are standing 36 m apart and facing each other. If Shari looks upward, the angle of elevation of a hot air balloon in the sky is radians and from Leo the angle of elevation is radians. Calculate the height of the hot air balloon from the ground, to the nearest tenth of a metre. (a) sin cos + cos sin 7. Use an appropriate compound angle formula to express as a single trigonometric function, and then determine an exact value for each. il.4 (b) sin cos (c) cos 10 cos 1/2 √ 7 √2 (d) sin(x - y) (e) cos(x + y) (f) cos(x - y) √3/2 - cos sin s + sin 10 sin 8. Use an appropriate compound angle formula to determine an exact value for each. (a) cos 1 (b) sin 13 (c) sin ¹9 (d) cos 2 12x5 13x5 9. Angle z is located in the second quadrant and angle y is located in the first quadrant such that sin z = and cos y Determine an exact value for: (a) cos r (b) sin y (c) sin(x + y) 60
Transcribed Image Text:3x¹3 5,₁ x 13 *39 (5 t 3. Determine the exact radian measure of each angle. (a) 125° (b) 80° (c) 16° 4. A wheel of a child's car revolves at 15 revolutions per minute. Determine the angular velocity of the wheel in: (a) degrees per second (b) radians per second 5. Determine an exact value for each expression. sin tan * (a) csc (b) sec 4 cot 5tan ³ 6. Shari and 'Leo are standing 36 m apart and facing each other. If Shari looks upward, the angle of elevation of a hot air balloon in the sky is radians and from Leo the angle of elevation is radians. Calculate the height of the hot air balloon from the ground, to the nearest tenth of a metre. (a) sin cos + cos sin 7. Use an appropriate compound angle formula to express as a single trigonometric function, and then determine an exact value for each. il.4 (b) sin cos (c) cos 10 cos 1/2 √ 7 √2 (d) sin(x - y) (e) cos(x + y) (f) cos(x - y) √3/2 - cos sin s + sin 10 sin 8. Use an appropriate compound angle formula to determine an exact value for each. (a) cos 1 (b) sin 13 (c) sin ¹9 (d) cos 2 12x5 13x5 9. Angle z is located in the second quadrant and angle y is located in the first quadrant such that sin z = and cos y Determine an exact value for: (a) cos r (b) sin y (c) sin(x + y) 60
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