Nothing Special   »   [go: up one dir, main page]
Scribd Logo
Upload

Welcome to Scribd!

  • 88 views

    Section 2.2 Trigonometric Functions: Unit Circle Approach

    Uploaded by

    Noob Kid

    Copyright:

    © All Rights Reserved
    Download as PDF, TXT or read online from Scribd

    Section 2.2 Trigonometric Functions: Unit Circle Approach

    Uploaded by

    Noob Kid
    88 views40 pages

    Original Title

    UNIT CIRCLE

    Copyright

    © © All Rights Reserved

    Available Formats

    PDF, TXT or read online from Scribd

    Did you find this document useful?

    Is this content inappropriate?

    Copyright:

    © All Rights Reserved
    Download as PDF, TXT or read online from Scribd
    Download as pdf or txt
    88 views40 pages

    Section 2.2 Trigonometric Functions: Unit Circle Approach

    Uploaded by

    Noob Kid

    Copyright:

    © All Rights Reserved
    Download as PDF, TXT or read online from Scribd
    Download as pdf or txt
    of 40

    Section 2.

    2
    Trigonometric Functions:
    Unit Circle Approach
    Copyright © 2012 Pearson Education, Inc. Publishing as Prentice Hall.
    Copyright © 2012 Pearson Education, Inc. Publishing as Prentice Hall.
    Copyright © 2012 Pearson Education, Inc. Publishing as Prentice Hall.
    Copyright © 2012 Pearson Education, Inc. Publishing as Prentice Hall.
    Copyright © 2012 Pearson Education, Inc. Publishing as Prentice Hall.
     2 2
     , 
     2 2 
    Copyright © 2012 Pearson Education, Inc. Publishing as Prentice Hall.
    Make a second congruent triangle.

    This triangle is equilateral so all


    1
    sides are 1. 2a = 1 so a = 2 .

    Use Pythagorean Theorem to


    find b.

    Copyright © 2012 Pearson Education, Inc. Publishing as Prentice Hall.


    Copyright © 2012 Pearson Education, Inc. Publishing as Prentice Hall.
    Copyright © 2012 Pearson Education, Inc. Publishing as Prentice Hall.
    Copyright © 2012 Pearson Education, Inc. Publishing as Prentice Hall.
    Copyright © 2012 Pearson Education, Inc. Publishing as Prentice Hall.
    Copyright © 2012 Pearson Education, Inc. Publishing as Prentice Hall.
    Copyright © 2012 Pearson Education, Inc. Publishing as Prentice Hall.
    Copyright © 2012 Pearson Education, Inc. Publishing as Prentice Hall.
    Find the exact value of each expression.
    3  5  9
    (a) cos135 (b) tan (c) sin 225 (d) cos    (e) sin
    4  4  4

     2 2 2
    (a) The point   ,  corresponds to 45 so cos 135  
     2 2  2

     2 2 3
    (b) The point   ,  corresponds to
     2 2  4
    2
    3
    so tan  2  1
    4 2

    2
    Find the exact value of each expression.
    3  5  9
    (a) cos135 (b) tan (c) sin 225 (d) cos    (e) sin
    4  4  4
     2 2 2
    (c) The point   ,  corresponds to 225 so sin 225  
     2 2  2

     2 2 5  5  2
    (d) The point   ,  corresponds to  so cos    
     2 2  4  4  2

     2 2 9
    (e) The point  ,  corresponds to
     2 2  4
    9 2
    so sin 
    4 2
    Copyright © 2012 Pearson Education, Inc. Publishing as Prentice Hall.
    4  7 
    Find: (a) cos 150 (b) sin (  30) (c) tan (d) sin  
    3  6 
    5 3 3
    (a) cos 150  cos  
    4
    6 2 (c) tan  2  3
      1 3 
    1
    (b) sin (  30)  sin      2
     6 2
     7  1
    (d) sin    
     6  2
    Your calculator has buttons for sin, cos, and tan so to find
    values of the remaining 3 trigonometric functions we use:
    CHANGE MODE
    TO RADIANS
    a  4 and b  3 so r  a 2  b2  16  9  5

    You might also like