1-If the given angle is in standard position, find two positive coterminal angles and two negative coterminal angles. (Enter your answers as a comma-separated list.) (a) 240 positive angles negative angles (b) 285 positive angles negative angles (c) 110 positive angles negative angles 2. Find the exact radian measure of the angle. (a) 810 (b) 63 (c) 85 3-Find the exact degree measure of the angle. (a) 8 3 (b) 5 (c) 5 8 4-Express in terms of degrees, minutes, and seconds, to the nearest second. = 2.7 ' '' 5-Express the angle as a decimal, to the nearest ten-thousandth of a degree. 33524'38'' 6-Express the angle in terms of degrees, minutes, and seconds, to the nearest second. 16.838 ' '' 7-If a circular arc of the given length s subtends the central angle radius of the circle. (Round your answer to two decimal places.) s = 7 km, = 80 km on a circle, find the 8-Consider the following figure. (a) Find the length of the arc of the colored sector in the figure. (Assume a = 22. Round your answer to two decimal places.) cm (b) Find the area of the sector. (Round your answer to two decimal places.) cm2 9-Consider the following. s = 1 ft, r = 8 in. (a) Find the radian and degree measures of the central angle subtended by the arc of length s on a circle of radius r. (Round the degree measure of the central angle to two decimal places.) = = rad (b) Find the area of the sector determined by . in2 10-Consider the following. = 60, d = 10 m (a) Find the length of the arc that subtends the given central angle on a circle of diameter d. (Round your answer to two decimal places.) m (b) Find the area A of the sector determined by . (Round your answer to two decimal places.) A= m2 11-The distance between two points A and B on Earth is measured along a circle having center C at the center of Earth and radius equal to the distance from C to the surface (see the figure). If the diameter of Earth is approximately 8000 miles, approximate the distance between A and B if angle ACB has the indicated measure. (Round your answers to the nearest mile.) (a) 80 mi (b) 42 (c) 25 mi mi (d) 14 (e) 4 mi mi 12-A wheel of the given radius is rotating at the indicated rate. (Enter your answers in terms of .) radius 9 in., 2300 rpm (a) Find the angular speed (in radians per minute). radians per minute (b) Find the linear speed of a point on the circumference (in ft/min). (Round your answer to the nearest whole number.) ft/min 13-Use common sense to match the variables and the values. (The triangle is drawn to scale, and the angles are measured in radians.) (a) = (b) = (c) x= (d) y= (e) z= 14-Find the values of the six trigonometric functions for the angle 1, c = 4. sin = . Assume a = cos = tan = csc = sec = cot = 15-Find the values of the six trigonometric functions for the angle sin = cos = tan = csc = . sec = cot = 16.Find the exact values of x and y. (Assume s = 8.) x = y = 17.Find the exact values of x and y. (Assume s = 14.) x = y = 18-Find the exact values of the trigonometric functions for the acute angle . tan = 24 7 = sin = cos = tan = csc = sec = cot 19.Stonehenge in Salisbury Plains, England, was constructed using solid stone blocks weighing over 99,000 pounds each. Lifting a single stone required 550 people, who pulled the stone up a ramp inclined at an angle of 9. Approximate the distance that a stone was moved in order to raise it to a height of 32 feet. (Round your answer to the nearest whole number.) ft 20. Approximate to four decimal places, when appropriate. (a) cot(/11) (b) csc 1.36 (c) cos(8.55) (d) tan 19 8 ________________ 21.Use the Pythagorean identities to write the expression as an integer. (a) tan2 6 sec2 6 (b) 6 tan2 6 sec2 22.Simplify the expression. 8 tan 8 csc sec 23-Use fundamental identities to write the first expression in terms of the second, for any acute angle . cos , cot 24.-/Find the exact values of the six trigonometric functions of position and P is on the terminal side. P(5, 2) sin = cos = if is in standard tan = csc = sec = cot = 25-Find the exact values of the six trigonometric functions of if is in standard position and the terminal side of is in the given quadrant and satisfies the given condition. II; parallel to the line through A(0, 7) and B(5, 8) sin = cos = tan = csc = sec = cot = 26-Find the quadrant containing if the given conditions are true. (a) tan > 0 and cos > 0 Quadrant I Quadrant II Quadrant III Quadrant IV (b) sec > 0 and tan < 0 Quadrant I Quadrant II Quadrant III Quadrant IV (c) csc < 0 and cot < 0 Quadrant I Quadrant II Quadrant III Quadrant IV (d) cos < 0 and csc < 0 Quadrant I Quadrant II Quadrant III Quadrant IV 27. Use fundamental identities to find the values of the trigonometric functions for the given conditions. csc = 6 and cot < 0 sin = cos = tan = csc = sec = cot = 28-Rewrite the expression in nonradical form without using absolute values for the indicated values of . sec2 1 ; /2 < < \f\f