Pre Calc Trig Test 1 Review

# Pre Calc Trig Test 1 Review - Trigonometry Test I Review 1...

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Trigonometry: Test I Review 1. Convert to degrees: 7 π 3 , π 4 , 11 π 6 ,1.5 2. Convert to radians: 75 ,330 , 225 = _____________ 3. Find a coterminal angle with measure θ such that 0 2 θ π o for 24 5 π ,400 , 3 π 4 ___________________ 4. Find the reference angle θ for the given angle. a. 5 7 π _____________ b. 815 o ____________ c. 75 o ____________ 5 . In which quadrant is the terminal side? a. 495º = _____________ b. 11 ________________ 3 π = 6. An arc of length150 ft subtends a central angle θ in a circle of radius 30 ft. Find the approximate measure of θ in degrees.(to one decimal place)___________ 7 . A boy is riding a scooter whose wheels are 5-in in diameter. If the wheels rotate at 550 revolutions per minute, find the angular and linear velocity. Angular (in terms of pi)________ Linear (in terms of mph)_______ 8. Sketch a triangle that has acute angle θ , and find the other five trigonometric ratios of θ . If a. 24 cos 25 θ = b. csc θ = 12 7 c. tan θ = 6 13 9 . The angle of depression from the top of a tree to an ant is 12 π if the tree is 15 feet tall. How far away is the ant from the base of the tree? (Round to two decimal places.) 10. Evaluate without using a calculator. Give an exact answer and write answer as a single fraction.

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