# Khan/khan-exercises

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 eb168d3 Add exercise -- trigonometry 1 igorT authored Jul 20, 2011 1 2 3 4 Trigonometry 1 5 6 57 58 59
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61 randRange(3, 10) 62 randRange(3, 10) 63 BC 64 AC * AC + BC * BC 65 formattedSquareRootOf(AC * AC + BC * BC) 66
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• "ABC"
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• "BAC"
• 69
70 (ANGLE.substring(0,1) + ANGLE.substring(2)) 71 72 (function(){ 73 if ( OPPOSITE_NAME == "AC" ){ 74 return AC; 75 } 76 else if ( OPPOSITE_NAME == "BC" ){ 77 return CB; 78 } 79 return AB_STRING; 80 })() 81 82 83 "AB" 84 AB_STRING 85 86 ANGLE.substring(1) 87 88 (function(){ 89 if ( ADJACENT_NAME=="AC" ){ 90 return AC; 91 } 92 else if ( ADJACENT_NAME=="BC" ){ 93 return BC; 94 } 95 96 return AB_STRING; 97 })() 98 99 100 fraction( OPPOSITE_VALUE, ADJACENT_VALUE, false, false, false, false) 101 102 103 fractionReduce( OPPOSITE_VALUE, ADJACENT_VALUE, false, false) 104 105 106 "\\frac{" + OPPOSITE_VALUE + "}{" + formattedSquareRootOf(AB) + "}" 107 108 109 fractionSQRoot( OPPOSITE_VALUE , AB ) 110 111 112 "\\frac{" + ADJACENT_VALUE + "}{" + formattedSquareRootOf(AB) + "}" 113 114 115 fractionSQRoot( ADJACENT_VALUE , AB ) 116 117 118 119
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\overline{AC} is AC units long

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\overline{BC} is BC units long

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\overline{AB} is AB_STRING units long

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What is \sin(\angle ANGLE) ?

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132 betterTriangle( BC, AC, "A", "B", "C", BC, AC, AB_STRING ); 133
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137 SIN 138
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• COS
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• SIN
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• TAN
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• \dfrac{1}{AB}
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• \dfrac{1}{BC}
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• \dfrac{1}{AC}
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• \dfrac{2 \sqrt{2}}{AC}
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SOH CAH TOA

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Sin = Opposite over Hypotenuse

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opposite = \overline{OPPOSITE_NAME} = OPPOSITE_VALUE

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hypotenuse = \overline{HYPOTENUSE_NAME} = AB_STRING

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\sin(\angle ANGLE)=SIMPLE_SIN

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=SIN

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\overline{AC} is AC units long

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\overline{BC} is BC units long

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\overline{AB} is AB_STRING units long

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What is \cos(\angle ANGLE) ?

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169 betterTriangle( BC, AC, "A", "B", "C", BC, AC, AB_STRING ); 170
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174 COS 175
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SOH CAH TOA

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hypotenuse = \overline{HYPOTENUSE_NAME} = AB_STRING

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\cos(\angle ANGLE )=SIMPLE_COS

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=COS

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\overline{AC} is AC units long

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\overline{BC} is BC units long

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\overline{AB} is AB_STRING units long

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What is \tan(\angle ANGLE) ?

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197 betterTriangle( BC, AC, "A", "B", "C", BC, AC, AB_STRING ); 198
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202 TAN 203
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SOH CAH TOA

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opposite = \overline{OPPOSITE_NAME} = OPPOSITE_VALUE

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\tan(\angle ANGLE)=SIMPLE_TAN

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=TAN

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