Reviewing Trigonometry Angle Measure Quadrant Express as a function of a positive acute angle Evaluate Find the angle Mixed Problems

100 points Name the three different units used to measure the size of an angle. Degrees, Radians, and Gradient

200 points Convert 120 degrees to pi radians. 2 pi / 3

300 points 105 degrees Convert radians to degree measure.

400 points Find the degree measure of the angle formed by the hands of a clock at 3 p.m. ? 90 o E

500 points Find the radian measure of the angle made by the hands of a clock at 2:30 p.m pi / 180 or 3 pi / 4

100 points Name the quadrant in which a 400 o angle terminates. I

200 points Name the quadrant in which an angle of 3  terminates Quadrantal angle no terminal quadrant!

300 points Name the quadrant(s) where an angle possess a negative value for sine and a positive value for tangent. III

400 points Name the quadrant(s) in which an angle has a positive sine and cosecant. I and II

500 points Name the quadrant in which an angle has a sine of.6 and a cosine of -.8 II

100 points Express sin 135 o as a function of a positive acute angle + sin 45 o

200 points Express csc( o ) as the function of a positive acute angle - c sc 67 º

300 points Express the measure of cos 17pi /12 as the function of a positive acute angle. -cos 5 pi / 12

400 points Express sec ( 15  / 12) as a function of a positive acute angle - Sec  /3

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

100 points Find the exact value of sin 45 º. Square root of 2 divided by 2

200 points Find the exact value of cos 150 degrees. Negative square root of 3 divided by 3

300 points Evaluate the csc 330 degrees. 2

400 points Evaluate to the nearest hundredth the sec 195 degrees

500 points Find to the nearest ten-thousandth the value of csc 5 pi /

100 points Find the degree measure of the I quadrant angle whose cosine is ½. 60 o

200 points If sin x = -.5 and 0 o < x < 360 o. {210 o, 330 o }

300 points Find the radian measure of the angles whose tangent equals 1. { pi /4, 5 pi / 4}

400 points Find α, to the nearest degree, given cot α = - 9 { 174 o, 354 o }

500 points Find α to the nearest second when sin α = { 214º 36 ’ 12 ”, 325 o 23 ’ 48 ” }

100 points Find the exact value of tan 300 o. √3

200 points Find the value of sin 2 30 o + cos 2 30 o 1

300 points Find the value of x given sin( x + 20) o = cos 50 o. x = 20 0

400 points Given that secA = 1.95, find m  A to the nearest second. { 59 o 08 ’ 53”, 300 o 51’ 07”}

500 points Find largest negative angle that has the same terminal side as an angle of 1250 o o