FINAL STUDY GUIDE
FINAL STUDY GUIDE MAC1114
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This 0 page Study Guide was uploaded by mak15k on Friday December 4, 2015. The Study Guide belongs to MAC1114 at Florida State University taught by Dr. LeNoir in Fall 2015. Since its upload, it has received 120 views. For similar materials see Analytic Trigonometry MAC1114 in Math at Florida State University.
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Date Created: 12/04/15
MAC1114 LeNoir STUDY GUIDE FOR FINAL THIS FINAL IS CUMULATIVE SO BASICALLY THIS STUDY GUIDE IS GOING TO INCLUDE ALL MY NOTES FROM THIS YEAR SINCE THE ONLY WAY TO REALLY STUDY IS TO PRACTICE AND MY NOTES WILL SHOW YOU HOW TO DO THAT ALSO INCLUDED IN THIS STUDY GUIDE ARE HINTFORMULA SHEETS AND EXAMPLES OF WORKED PROBLEMS NOTEBOOK PAPER FROM DR LENOIR HERSELF AS I39VE SAID BEFORE THE ONLY WAY TO TRULY GET TRIG DOWN IS TO PRACTICE SO BUCKLE DOWN AND START STUDYING CHAPTERS 5156 Attached notes and pictures with examples CHAPTERS 63 66 67 7173 81 82 63 DOUBLE AND HALF ANGLES see formulas for 63 1 write down the memorized identity that you need to use to solve the question 2 is the value gt locate the quadrant Quadrantl All P39ositive QuadrantZ Sin and Cse P39ositive Quadrant Tan and Cot P39ositive Quadrant l Cosano See Positive MAC1114 LeNoir 3 multiply or divide original interval by trig constant to get other interval 4 use quadrant of common value of steps 2 amp 3 5 draw trig function in correct quadrant 6 nd trig value within formula identity from picture 7 solveis there a square root find out if it39s trigewhich interval belongs to 6 see examples for 63 66 SOLVING TRIG EQUATIONS To solve means to find all possible values of 9 within the given interval 1 get the reference angle gt locate the quadrant gt draw the anges in the correct quadrant 2 based off where these drawn angles are name them accordingly 3 set the trig value of Gequal to these angles and solve for e if the problem only asks for general solutions stop here 4 add and subtract the period of the trig function to find all values of 9 within the given interval these are the speci c solutions To nd the number of solutions 1 don39t get distracted by the value of the trig function 2 nd the location of the terminal side gt locate the quadrant gt draw the anges in the correct quadrant 3 draw the interval and mark the angles that are within this interval pay attention to the signs see examples for 66 67 SOLVING TRIG EQUATIONS MAC1114 LeNoir see hints for 67 set to zero and factoruse an identity rst then factormultiply both sides by reciprocal then continuewrite in terms of sin or cos see examples for 67 7173 SOLVING TRIANGLES see hints for 7173 To solve a triangle means to nd all the lengths of all three sides and the measures of all three angles Angle of elevation the acute angle formed by a horizontal line and an observer39s line of sight to an object above the horizontal Angle of depression the acute angle formed by a horizontal line and an observer39s line of sight to an object below the horizontal Bearing acute angle formed between the line segment and the northsouth line through the point see examples for 7173
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