9. How would you determine the exact radian measure of a 45-degree angle? 30-degree angle? How would you determine the degree measure of an angle that is (7*pi)/12 radians?
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Expresión 20:
20
Expresión 21:
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Equations for this diagram
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Expresión 23: "A" Subscript, "r" "c" , Baseline equals "k" times "a"Arc=k·a
Expresión 25: "C" Subscript, "e" "n" "t" "r" "a" "l" "A" "n" "g" "l" "e" , Baseline equals "a"CentralAngle=a
equals=
4.14.1
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Expresión 26: "r" equals "k" left brace, 0 less than or equal to theta less than or equal to "a" , right bracer=k0≤θ≤a
00
valor mínimo del dominio \theta:
less than or equal to theta less than or equal to≤θ≤
4.14.1
valor máximo del dominio \theta:
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Expresión 27: "r" equals "k" left brace, 0 less than or equal to theta less than or equal to "a" , right bracer=k0≤θ≤a
00
valor mínimo del dominio \theta:
less than or equal to theta less than or equal to≤θ≤
4.14.1
valor máximo del dominio \theta:
27
Expresión 28: "r" equals "k" left brace, 0 less than or equal to theta less than or equal to "a" , right bracer=k0≤θ≤a
00
valor mínimo del dominio \theta:
less than or equal to theta less than or equal to≤θ≤
4.14.1
valor máximo del dominio \theta:
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The next 2 lines generate the terminal side and the 3rd line generates the initial side:
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Expresión 30: "y" equals left parenthesis, tan "a" , right parenthesis "x" left brace, 0 less than or equal to "x" less than or equal to "k" times cos "a" , right bracey=tanax0≤x≤k·cosa
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Expresión 31: "y" equals left parenthesis, tan "a" , right parenthesis "x" left brace, "k" times cos "a" less than or equal to "x" less than or equal to 0 , right bracey=tanaxk·cosa≤x≤0
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Expresión 32: "y" equals left brace, 0 less than or equal to "x" less than or equal to "k" : 0 , right bracey=0≤x≤k:0
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Expresión 33: "r" equals StartFraction, "k" Over 4 , EndFraction left brace, 0 less than or equal to theta less than or equal to "a" , right bracer=k40≤θ≤a
00
valor mínimo del dominio \theta:
less than or equal to theta less than or equal to≤θ≤
4.14.1
valor máximo del dominio \theta:
33
Expresión 34: "x" squared plus "y" squared equals "k" squaredx2+y2=k2
34
The following 3 lines generate the terminal side when s=pi/2 or s=3pi/2:
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Expresión 36: "x" equals "q" left parenthesis, "a" , right parenthesis times 0 left brace, 0 less than or equal to "y" less than or equal to "k" times sin "a" , right bracex=qa·00≤y≤k·sina
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Expresión 37: "x" equals "q" left parenthesis, "a" , right parenthesis times 0 left brace, "k" times sin "a" less than or equal to "y" less than or equal to 0 , right bracex=qa·0k·sina≤y≤0
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Expresión 38: "q" left parenthesis, "x" , right parenthesis equals left brace, "a" equals StartFraction, pi Over 2 , EndFraction : 1 , "a" equals StartFraction, 3 pi Over 2 , EndFraction : 1 , right braceqx=a=π2:1,a=3π2:1
