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

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. 1. –145 o ________________ 2. 750 o _________________ 215o, QIII 30o , Q I

Section 2 Change each measure to degrees, minutes, and seconds. 3. 29.65 o ___________ 4. 121.21o _____________ 29o 39’ 00” 121o 12’ 36” Change each measure to degrees. 5. 29 o 15’ 25” ___________ 6. 121o 32’ 48”_________ 29.257o 121.547o

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 = ______ 4/5 3/4 5/4 5/3 4/3

Section 4 8. Use the unit circle to find the values of the six trig functions for each angle. Express exact values. -√3/2 -1/2 sin 210 = ________ cos 210 = ________ tan 210 = ________ csc 210 = _________ sec 210 = _______ cot 210 = ________ √3/3 - 2 √3 -2√3/3

Section 5 9. Find the measure of the reference angle for each angle

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  = _______, - √7/3 √7/4 -3√7 /7 4√7 /7 -4 /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. (5, -5) sin  = ________ , cos  = _________ , tan  = ______ , csc  = _______, sec  = _______ , cot  = ______ -√2 /2 √2 /2 -1 -√2 √2 -1