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Reviewing Trigonometry Angle Measure Quadrant Express as a function of a positive acute angle Evaluate Find the angle Mixed Problems
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100 points Name the three different units used to measure the size of an angle. Degrees, Radians, and Gradient
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200 points Convert 120 degrees to pi radians. 2 pi / 3
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300 points 105 degrees Convert radians to degree measure.
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400 points Find the degree measure of the angle formed by the hands of a clock at 3 p.m. ? 90 o E
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500 points Find the radian measure of the angle made by the hands of a clock at 2:30 p.m.. 135 pi / 180 or 3 pi / 4
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100 points Name the quadrant in which a 400 o angle terminates. I
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200 points Name the quadrant in which an angle of 3 terminates Quadrantal angle no terminal quadrant!
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300 points Name the quadrant(s) where an angle possess a negative value for sine and a positive value for tangent. III
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400 points Name the quadrant(s) in which an angle has a positive sine and cosecant. I and II
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500 points Name the quadrant in which an angle has a sine of.6 and a cosine of -.8 II
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100 points Express sin 135 o as a function of a positive acute angle + sin 45 o
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200 points Express csc( - 113 o ) as the function of a positive acute angle - c sc 67 º
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300 points Express the measure of cos 17pi /12 as the function of a positive acute angle. -cos 5 pi / 12
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400 points Express sec ( 15 / 12) as a function of a positive acute angle - Sec /3
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500 points A cosine of a III quadrant angle is expressed as - cos 78 º. If the original angle has a measure between 0 and 360 degrees, what is the degree measure of the original angle ? 258º
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100 points Find the exact value of sin 45 º. Square root of 2 divided by 2
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200 points Find the exact value of cos 150 degrees. Negative square root of 3 divided by 3
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300 points Evaluate the csc 330 degrees. 2
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400 points Evaluate to the nearest hundredth the sec 195 degrees. -1.04
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500 points Find to the nearest ten-thousandth the value of csc 5 pi / 11. 1.0103
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100 points Find the degree measure of the I quadrant angle whose cosine is ½. 60 o
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200 points If sin x = -.5 and 0 o < x < 360 o. {210 o, 330 o }
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300 points Find the radian measure of the angles whose tangent equals 1. { pi /4, 5 pi / 4}
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400 points Find α, to the nearest degree, given cot α = - 9 { 174 o, 354 o }
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500 points Find α to the nearest second when sin α = -.56789 { 214º 36 ’ 12 ”, 325 o 23 ’ 48 ” }
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100 points Find the exact value of tan 300 o. √3
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200 points Find the value of sin 2 30 o + cos 2 30 o 1
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300 points Find the value of x given sin( x + 20) o = cos 50 o. x = 20 0
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400 points Given that secA = 1.95, find m A to the nearest second. { 59 o 08 ’ 53”, 300 o 51’ 07”}
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500 points Find largest negative angle that has the same terminal side as an angle of 1250 o. - 190 o
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