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Name: _____________________ Trigonometry Review (Functions 112) T. Baker 1 1. Sketch the following in standard position. Name the reference angle, principal angle, 2 positive and 2 negative coterminal angles. a. 129o b. -302o c. 98o d. 247o 2. Point P (-6, -2) is on the terminal am of θ. Find the six trigonometric values for θ. 3. If tan θ = -3/4 and θ is in quadrant 3, find cos θ. 4. Find the following without using a calculator. a. sin30o cos60o – cos30o sin60o d. tan(-600o) 2 o 2 o b. sin 45 + cos 45 e. csc (-210o) c. cos 390o f. cot (-60o) 5. Find the following to 4 decimals places a. sin 99o b. cot (-18o) c. csc 230o d. sec 316o 6. Find θ for 0≤ θ ≤ 360o. a. tan θ = 3.1257 c. cot θ = -1.6142 b. sin θ = -0.6154 d. sec θ = 4.5123 7. Solve the following triangles (find all angles and sides) ∆ ABC, angle B = 90o, angle A = 26o, c = 6.8 cm 8. In ∆ ABC, angle A = 90o, c = 2.25, angle C = 40o. Find b. 9. The angle of elevation of a kite is 27o. Assuming the kite is being held by a stake on the ground, if 57 m of kite string has been let out, how high is the kite? 10. The angle of depression of a stake on the ground is measured from a roof top and is found to be 16 o. If the house is 7.2 m tall, how far is the stake from the house? Name: _____________________ Trigonometry Review (Functions 112) T. Baker 1 1. Sketch the following in standard position. Name the reference angle, principal angle, 2 positive and 2 negative coterminal angles. a. 129o b. -302o c. 98o d. 247o 2. Point P (-6, -2) is on the terminal am of θ. Find the six trigonometric values for θ. 3. If tan θ = -3/4 and θ is in quadrant 3, find cos θ. 4. Find the following without using a calculator. a. sin30o cos60o – cos30o sin60o d. tan(-600o) 2 o 2 o b. sin 45 + cos 45 e. csc (-210o) c. cos 390o f. cot (-60o) 5. Find the following to 4 decimals places a. sin 99o b. cot (-18o) c. csc 230o d. sec 316o o 6. Find θ for 0≤ θ ≤ 360 . a. tan θ = 3.1257 c. cot θ = -1.6142 b. sin θ = -0.6154 d. sec θ = 4.5123 7. Solve the following triangles (find all angles and sides) ∆ ABC, angle B = 90o, angle A = 26o, c = 6.8 cm 8. In ∆ ABC, angle A = 90o, c = 2.25, angle C = 40o. Find b. 9. The angle of elevation of a kite is 27o. Assuming the kite is being held by a stake on the ground, if 57 m of kite string has been let out, how high is the kite? 10. The angle of depression of a stake on the ground is measured from a roof top and is found to be 16 o. If the house is 7.2 m tall, how far is the stake from the house?
