Graded Assignment MTH403B: Pre-Calculus/Trigonometry | Unit 1 | 1.4 Test Part 2 1. Explain the relationship(s) among angle measure in degrees, angle measure in radians, and arc length. Score Answer: s=rθ s=arc length, r=radius of arc, θ= theta 2pi radians = 360 degrees pi radians = 180 degrees to convert---- radians to degrees: multiply by 180/pi to convert---- degrees to radians you multiply by the reciprocal pi/180. (15 points) 2. Find the exact value of each of the following. In each case, show your work and explain the steps you take to find the value. Score 17 6 17 x pi/ 6 17 x 0.52.... 8.84..... sin 8.84.... = -0.5 a. sin b. tan 13 4 13 x pi/46 1 3x 0.78.... 10.21..... tan 10.21.... = 1 or 0.9 c. sec 11 3 11 x pi/ 3 11 x 1.04.... 11.51..... sin 11.51.... = -0.86 © 2009 K12 Inc. All rights reserved. Copying or distributing without K12’s written consent is prohibited. Page 1 of 3 Graded Assignment MTH403B: Pre-Calculus/Trigonometry | Unit 1 | 1.4 Test Part 2 Answer: (10 points) 3. Consider the right triangle ABC given below: (5 points each) Score a. Find the length of side b to two decimal places. b. Find the length of side a to two decimal places in three different ways. Answer: © 2009 K12 Inc. All rights reserved. Copying or distributing without K12’s written consent is prohibited. Page 2 of 3 Graded Assignment MTH403B: Pre-Calculus/Trigonometry | Unit 1 | 1.4 Test Part 2 (15 points) 4. Consider the right triangle ABC given below: Score a. What is the length of the hypotenuse of triangle ABC? b. What is the length of the shorter leg of triangle ABC? c. What is the length of the longer leg of triangle ABC? Answer: Your Score © 2009 K12 Inc. All rights reserved. Copying or distributing without K12’s written consent is prohibited. ___ of 100 Page 3 of 3