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Trigonometry Test 7 Solve. Draw the diagram and show the work. (4 pts.) 1 -2) The airline distance from Philadelphia to Syracuse is 260 miles on a bearing 335. The distance from Philadelphia to Cincinnati is 510 miles on a bearing of 245. Find the distance from Cincinnati to Syracuse. Convert from degrees to radians and simplify. Convert from radians to degrees. 3) 400° 4) 3a) 225° 8 3 4a) 9 5 s = r θ, s is arc length. 5) The radius is 6.4 m. The angle is 2 radians. 3 6) The radius of the earth is 6400 km. Los Angeles, CA is 34 N and Santiago, Chile is 33 S. Find the distance between the two cities. Area of a sector = 1 (θ)r2 2 7) r = 46 m, the angle is 5 radians 6 8) r = 24 ft and the angle is 80°. Use your calculator to find each. Find the value of s, where 0 < s < 1.5708 9) sin 0.6749 10) tan s = 0.8814 9a) cot 1.5272 Use the angular velocity formula w = 11) w = 9 rad/sec, t = 2 sec 14 10a) sec s = 1.4893 . Find the variable. t 12) θ = 2 4 rad., w = radians per sec., 9 27 Use the linear velocity formula v = rw. Find the variable. 13) v = 36π rad., w = 3 rad., r = _____ 4 Use the formula s = rwt. Find the variable missing. 14) r = 2 km, s = 4π km, w = GRAPH ( 3 pts.) 6 rad per sec. 15) r = 9 yd, w = ( 4 pts.) 16) y = -2 sin x 18) y = 2 + 3 cos 2x Graph. (3 pts.) (4 pts.) 19) y = -2 sec 3x 22) y = -1 + csc 1 x 4 Graph ( 3 pts. each) 23) y = 3 + tan 2 x 3 25) y = -1 + 2 cot 3x 2 rps, t = 12 sec 3