**Unformatted text preview:**

PRE CALCULUS 5Unit Created by ALL THINGS ALGEBRA Thank you SO MUCH for purchasing this product I hope you found this resource useful in your classroom Please consider leaving feedback in my TpT store or email me at allthingsalgebra gmail com with any questions or comments You can also find me here TERMS OF USE 2012 2018 Gina Wilson All Things Algebra LICENSING TERMS By purchasing this product the purchaser receives a limited individual license to reproduce the product for use within their classroom This license is not intended for use by organizations or multiple users including but not limited to school districts schools or multiple teachers within a grade level This license is non transferable meaning it can not be transferred from one teacher to another If other teachers in your department would like to use this product additional licenses can be purchased from my TpT store If your school or district is interested in purchasing transferable licenses to accommodate staff changes they may contact me at allthingsalgebra gmail com for a quote COPYRIGHT TERMS No part of this resource may be uploaded to the internet in any form including classroom personal websites or network drives unless the site is password protected and can only be accessed by students Thank you for respecting my work Unit 5 Trigonometric Functions Sample Unit Outline DAY 1 Standard Form of an Angle Degrees vs Radians Coterminal Angles Degree Minute Second Form DAY 2 Arc Length and Area of Sectors TOPIC HOMEWORK DAY 3 Circular Motion Linear and Angular Speed DAY 4 Quiz 5 1 DAY 5 DAY 6 DAY 7 Six Trigonometric Functions sin cos tan csc sec cot Trigonometric Values in Special Right Triangles Finding Side Angle Measures Solving Right Triangles Applications Trigonometric Functions for Any Angle Reference Angles The Unit Circle DAY 11 Mixed Law of Sines and Law of Cosines Area of Triangles HW 9 DAY 8 Quiz 5 2 DAY 9 Law of Sines DAY 10 Law of Cosines DAY 12 Quiz 5 3 DAY 13 Graphing Sine Cosine and Tangent Functions DAY 14 Translating Sine Cosine and Tangent Functions horizontal phase shifts and vertical shifts DAY 15 Graphing Reciprocal Functions DAY 16 Graphing Trigonometric Functions Review DAY 17 Quiz 5 4 DAY 18 Inverse Trigonometric Functions DAY 19 Compositions of Trigonometric Functions DAY 20 Unit 5 Review DAY 21 UNIT 5 TEST Gina W ilson All Things Algebra LLC 2018 HW 1 HW 2 HW 3 None HW 4 HW 5 HW 6 None HW 7 HW 8 None HW 10 HW 11 HW 12 HW 13 None HW 14 HW 15 Study For Test None Name Topic Main Ideas Questions Notes Examples Date Class Angles in Standard Form y An angle on the coordinate plane is in standard form when the vertex is on the origin and one ray lies on the positive x axis The ray on the x axis is called the The other ray is called the x Counterclockwise rotations result in angle measures DEGREES 90 y 180 0 360 0 36 0 270 Clockwise rotations result in angle measures The most common unit of measure for angles is the A degree is equivalent to of a full rotation Sketch an angle in standard form with the given measure 1 65 y 2 320 y 3 415 y 4 140 y 5 15 y 6 210 y x x x x x x RADIANS r 1 radian A radian is a unit of angle measure based on arc length One radian is defined as the measure of the angle formed when the radius is equivalent to the length of the intercepted arc Recall that the circumference of a circle is 2 r therefore r 360 180 Converting Degrees Radians Converting Radians Degrees Radians Degrees Degrees Radians radians 180 180 radians Gina W ilson All Things Algebra LLC 2018 Converting DEGREES to RADIANS Converting RADIANS to DEGREES COTERMINAL ANGLES y 90 2 x Convert each angle measure to radians 7 60 8 160 9 330 10 45 11 230 12 75 Convert each angle measure to degrees 13 5 18 14 11 9 15 7 3 16 6 17 19 12 18 3 4 Angles in standard position with the same terminal side are coterminal angles Determine whether the two angles are coterminal 19 305 and 55 20 30 and 170 21 and 4 9 4 22 and 3 2 5 2 270 3 2 Give two coterminal angles for each given angle one positive and one negative 23 150 24 265 25 25 26 12 27 7 6 28 11 18 Gina W ilson All Things Algebra LLC 2018 Name Topic Date Class Main Ideas Questions Notes Examples DEGREE MINUTE SECOND FORM DMS Some angles have decimal degrees for example 26 5 Angles with decimals can be expressed using degree minute second form DMS in which the degrees are subdivided into minutes and seconds as follows one degree minutes one minute seconds one degree seconds Symbols for degree minutes and seconds DEGREE MINUTE SECOND Follow the example below to convert 31 875 to degree minute second form Converting Converting Converting Converting DECIMAL DEGREES TO DMS 31 875 Therefore 31 875 Write each angle measure in DMS form 1 15 48 2 150 2 3 89 915 4 340 375 5 48 526 6 273 771 Gina Wilson All Things Algebra LLC 2018 7 105 394 8 318 812 Converting DMS TO DECIMAL DEGREES Follow the example below to convert 73 9 50 to decimal degrees 73 9 50 Therefore 73 9 50 Write each angle measure in decimal degree form 9 37 36 10 315 8 11 84 52 18 12 121 4 45 13 310 28 20 14 8 34 16 15 50 14 56 16 253 46 5 Gina Wilson All Things Algebra LLC 2018 Name Unit 5 Trigonometric Functions Date Per Homework 1 Angle Measures This is a 2 page document Directions Convert each angle measure to radians 1 140 2 75 3 190 4 312 5 65 6 225 Directions Convert each angle measure to degrees 7 8 9 10 11 12 Directions Give two coterminal angles for each given angle one positive and one negative 13 195 14 319 15 64 16 17 18 Gina Wilson All Things Algebra LLC 2018 35 718 109 95 1112 154 35 117 196 Directions Write each angle measure in Degree Minute Second DMS form 19 36 875 20 117 590 21 238 145 22 64 901 23 323 588 24 9 636 Directions Write each angle measure in decimal degree form 25 54 26 18 26 184 37 20 27 98 12 48 28 289 5 30 29 303 20 14 30 100 45 6 Gina Wilson All Things Algebra LLC 2018 Name Topic Date Class Main Ideas Questions Notes Examples ARC LENGTH If is a central angle in a circle with radius r then the length of the intercepted arc s is given by s r where is measured in radians Find the length of the intercepted arc given the angle measure and radius Give your answer in terms of and rounded to the nearest tenth Examples Examples Examples Examples …

View Full Document