Calculus
Calculus
7th Edition
ISBN: 9781524916817
Author: SMITH KARL J, STRAUSS MONTY J, TODA MAGDALENA DANIELE
Publisher: Kendall Hunt Publishing
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Question
Chapter E, Problem 1PS
To determine

Find the all values in the given table.

Expert Solution & Answer
Check Mark

Answer to Problem 1PS

The complete table is

    Degree Radians Sine Cosine Tangent
    45° 180° 240° 210° 90° π4 π4π3 7π6 π2 12 032 12 112 112 32 0103 13 undefined

Explanation of Solution

Given:

The given table is

  Calculus, Chapter E, Problem 1PS

Calculation:

  180°=πc1°=πc18045°=πc180×45°=πc4sin( 45°)=sin( 45°)=12cos( 45°)=cos( 45°)=12tan( 45°)=tan( 45°)=1

  πc=180°sin( 180°)=0cos( 180°)=1tan( 180°)=0

  πc=180°πc= 180°π4π3= 180°π×( 4π3)=240°sin( 240°)=sin( 240°)=sin( 180°+ 60°)=sin( 60°)=32cos( 240°)=cos( 240°)=cos( 180°+ 60°)=cos( 60°)=12tan( 240°)=tan( 240°)=tan( 180°+ 60°)=tan( 60°)=3

  180°=πc1°=πc180210°=πc180×210°=( 7π 6)csin( 210°)=sin( 180°+ 30°)=sin( 30°)=12cos( 210°)=cos( 180°+ 30°)=cos( 30°)=32tan( 210°)=tan( 180°+ 30°)=tan( 30°)=13

  180°=πc1°=πc18090°=πc180×90°=( π 2)csin( 90°)=1cos( 90°)=0tan( 90°)=undefined

Hence the complete table is

    Degree Radians Sine Cosine Tangent
    45° 180° 240° 210° 90° π4 π4π3 7π6 π2 12 032 12 112 112 32 0103 13 undefined

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