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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 two values of θ such that 0° θ° 360°: 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