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Trigonometry/Precalculus ( R ) Section 5.1 – 5.3 Pre-Test Section 1 For an angle in standard position, determine a coterminal angle that is between 0 o and 360 o. State the quadrant in which the terminal side lies. 1. –145 o ________________ 2. 750 o _________________ Section 2 Change each measure to degrees, minutes, and seconds. 3. 29.65 o ___________ 4. 121.21o _____________ Change each measure to degrees. 5. 29 o 15’ 25” ___________ 6. 121o 32’ 48”_________ Section 3 7. The sine of an acute R of a right triangle is 3/5. Find the values of the other trigonometric ratios for this angle. cos R = _______, tan R = _______, sec R = ________, csc R = ______, cot R = ______ Section 4 8. Use the unit circle to find the values of the six trig functions for each angle. Express exact values. sin 210 = ________ cos 210 = ________ tan 210 = ________ csc 210 = _________ sec 210 = _______ cot 210 = ________ Section 5 9. Find the measure of the reference angle for each angle 235 o ________ – 447 o ______ 1038 o _______ Section 6 10. Suppose is an angle in standard position whose terminal side lies in the given quadrant. For each function, find the values of the remaining five trigonometric functions for . sin = - ¾ ; quadrant IV cot = _______ , cos = _______ , tan = _______ , sec = _______ , csc = _______, Section 7 11. Given the coordinate of the terminal side of an angle, determine the exact function value for each of the six functions. (5, -5) sin = ________ , cos = _________ , tan = ______ , csc = _______, sec = _______ , cot = ______ Section 1 For an angle in standard position, determine a coterminal angle that is between 0 o and 360 o. State the quadrant in which the terminal side lies. 215o, QIII 1. –145 o ________________ 30o , Q I 2. 750 o _________________ Section 2 Change each measure to degrees, minutes, and seconds. 29o 39’ 00” 3. 29.65 o ___________ 121o 12’ 36” 4. 121.21o _____________ Change each measure to degrees. 29.257o 5. 29 o 15’ 25” ___________ 121.547o 6. 121o 32’ 48”_________ Section 3 7. The sine of an acute R of a right triangle is 3/5. Find the values of the other trigonometric ratios for this angle. 4/ 3/ 5/ cos R = _______, tan R = _______, sec R = ________, 5 4 4 5/ 4/ csc R = ______, cot R = ______ 3 3 Section 4 8. Use the unit circle to find the values of the six trig functions for each angle. Express exact values. -√3 -1/ sin 210 = ________ 2 √3/ 3 tan 210 = ________ -2√3 /3 sec 210 = _______ /2 cos 210 = ________ -2 csc 210 = _________ √3 cot 210 = ________ Section 5 9. Find the measure of the reference angle for each angle 55o o 235 ________ – 447 o o 87 ______ 42o 1038 o _______ Section 6 10. Suppose is an angle in standard position whose terminal side lies in the given quadrant. For each function, find the values of the remaining five trigonometric functions for . sin = - ¾ ; quadrant IV - √7/ √7/ 3 cot = _______ , cos = _______ , 4 -3√7 / 4√7 / tan = _______ 7 , sec = _______ 7 , -4 / csc = _______, 3 Section 7 11. Given the coordinate of the terminal side of an angle, determine the exact function value for each of the six functions. -√2 / √2 / (5, -5) sin = ________ , cos = _________ , 2 2 -1 -√2 tan = ______ , csc = _______, sec = √2 _______ , -1 cot = ______