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Name:________________________________ Trigonometry Part I: Review Sheet Date:_______ Period:______ Trigonometry Part 1: Review Sheet Answer all questions on a separate sheet of paper. Show all work where necessary. Find the smallest positive angle that is coterminal with each angle. 1) -40° 2) 390° 3) 800° 4) -400° 5) -120° Find the exact value of each function: 7) sin 120° 8) cos 300° 9) sin 315° 10) tan(-60°) 6) 420° 11) cos 90° + tan 225° 12) (tan 30°)2 Find the exact value of each expression: 13) sec300 14) csc225 17) sec150 cos150 16) csc(210) 15) cot270 18) tan300 cot300 19) cot315° 20) sec180° Write the expression as a function of an acute angle whose measure is less than 45°: 21) sin 65° 22) cot 300° 23) csc 75° 24) tan 110° 25) sec 47° 26) cos 120° 27) sec 160° 28) sin 350° Express each function as a function of positive acute angle: 29) sin 320° 30) tan (-50°) 31) cos 200° 32) tan (-140°) 33) sin 400° 34) sec 350° 35) csc 420° 36) cot 345° Determine the quadrant in which x lies if 37) sin x > 0 and cot x < 0 38) csc x < 0 and cot x < 0 39) sec x > 0 and sin x < 0 40) cos x > 0 and csc x > 0 Solve each equation for x: 41) sin x = cos (4x + 20) 41) sec (2x - 2) = csc (x - 7) Find the value of θ such to the nearest tenth of a degree 43) sin θ = .8913 44) cos θ = -0.6732 Find the following: 46) If tan θ = 2 3 and sec θ < 0, find the csc θ 5 47) If cosθ = -3/5 and tanθ < 0, find the secθ. 48) If tan = 0.1988, find to the nearest minute. 49) Find the value of sin 6523’ to four decimal places. 42) cot (x – 4) = tan (x + 6) 45) tan θ = .5621 Answer Key: 1.) 320o 2.) 30o 3.) 80o 4.) 320o 5.) 240o 6.) 60o 7.) 8.) 9.) 10.) 11.) 1 12.) 13.) 14.) 15.) 0 16.) 2 17.) 1 18.) 1 19.) -1 20.) -1 21.) cos25o 22.) –tan30o 23.) sec15o 24.) –cot20o 25.) csc43o 26.) –sin30o 27.) –sec20o 28.) –sin10o 29.) –sin40o 30.) –tan50o 31.) –cos20o 32.) tan40o 33.) sin40o 34.) sec10o 35.) csc60o 36.) –cot15o 37.) QII 38.) QIV 39.) QII 40.) QI 41.) 14 41.) 33 42.) 44 43.) 63.0o 44.) 132.3o 45.) 29.3o 46.) 47.) 48.) 11o15’ 49.) 0.9091