Fall 20 Show all work for full credit. Work independently work if it contain details outside of class. 1. Find the area of the following triangle (a). a = 4, b = 3, c= 6. (b). a = 3, b= 4, C = 50. 4. Convert r = sin 0 - cos 0 to rectangular equation.4) 5. Use the Law of cosines to prove the identity COS A COS B + cos C + a2 + 62 + 2 a b = 2abc135 DIES esc C G Search or type URL 6. Let u = 52 - 7j and v = 2i + j. Find a unit vector in the direction of 2u + 7v. Verify y answer7. Simplify (1 -2) and give your answer in rectangular form, polar form and exponential foresc 8. Given the point P = (5, -,). Find other polar coordiantes (r, 0) for the same point P that satisfies: (a). r > 0, 27 0, - 27 50