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Name:______________________________ Mr. Nickels Review Trigonometric Functions Math 3C Part I: Evaluate the following trigonometric functions. Exact values only. 1) sin 270 4 2) cos 2 3) sin 300 4) cos 120 5 5) cos 4 11 6) sin () 6 3 7) cos ( ) 2 8) tan 60 9) tan 6 10) tan 315 11) tan 810 12) tan π Part II: Express as a function of a positive acute angle. 1) sin 357 2) cos 215 8 3) cos 5 4) tan 179 5) tan ( - 757) Part III: Find the value of the specified trigonometric function. Exact values only. 4 1) If cos x = and x is in quadrant IV, find tan x. 5 12 2) If sin x = and x is in quadrant III, find cos x. 13 3 3) If cos x = and x is in quadrant II, find cot x. 2 12 4) If cos x = and x is in quadrant II, find tan x. 13 √7 5) If cos x = − 9 and x is in quadrant II, find tan x. Part IV: Determine which quadrant angle x is located in. 1) sin x < 0 and sec x < 0 2) cos x > 0 and sin x > 0 3) csc x < 0 and cos x > 0 4) cos x < 0 and tan x > 0 5) cot x < 0 and cos x < 0 Part V: Evaluate. Exact values only. 1) sin 270 + cos 225 2) (cos 3) sin 7 ) ( tan ) 4 6 3 + cos + cos 2 4 4) 𝑡𝑎𝑛 5𝜋 6 𝜋 − 𝑠𝑖𝑛2 ( 3 ) 𝜋 5) 3𝑐𝑜𝑠 2 ( 4 )