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Name: ___________________________ Trigonometry Practice Test 10) Find the exact value of csc 225. 1) If csc x < 0 & sec x > 0, then the terminal side of the angle is located in which quadrant? a) I b) II c) III d) IV 2) If sin x < 0 & cot x > 0, then the terminal side of the angle is located in which quadrant? a) I b) II c) III d) IV 7 3) Express in degree measure. 12 4) Express 480 degrees in radian measure. Evaluate each of the following: (Only EXACT values will be accepted) 11) sin150 12) sec330 13) csc 5 3 5 4 5) Find the reference angle of 272 degrees. 14) cot 6) Express csc 245 as a function of a positive acute angle. 15) Find the exact value of csc 330 + cos 180. 7) Express tan (-684) as a function of a positive acute angle. 8) In a circle whose radius is 20cm, what is the length of the intercepted arc if the measure of the central angle is 6.5 radians? 9) Determine the measure of the central angle, given a radius of 4cm and arc length of 18 cm? 16) Convert 2.78 radians to the nearest degree measure. 17) if f(x) = 2sin 2 x 3cos 2 x 3 , find f 3 Evaluate the following using exact values: 18) 2 cos120 csc150 cot 4 19) tan 3 24) Which value will make the function tan(x + 40) undefined? a) 60 b) 140 c) 50 d) 0 25) Which value of x, satisfies the equation 2sin 2 x 1 1 ? a) 0 b) 30 c) 45 d) 90 sin 2 26) If cos ( x + 15) = sin ( x + 11) find x. 20) f(x) = 5cos 2 x , find f(150) 27) Simplify completely: sec x(cos x – cot x) 21) If sin x = 4 , and tan x < 0, find 5 cot x. sin 2 x 1 28) Simplify completely: cot x 12 , and the terminal 13 side of the angle is in quadrant III, find sin x. 22) If cos x = 29) If tan x = 7 , and x is in quadrant 12 III, find csc x. 23) If csc x = 3, and the terminal side of the angle is in quadrant I, find sec x. 30) For all values of is defined, 1) 2) 3) 4) for which the expression is equivalent to