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Trigonometry:   Sine,  Cosine,  Tangent  

Hypotenuse   Opposite    

x∘ Adjacent    

opposite sin x = hypotenuse adjacent cos x = hypotenuse opposite tan x = adjacent


hypotenuse * sin x = opposite hypotenuse * cos x = adjacent adjacent * tan x = opposite


opposite x° = sin hypotenuse −1

adjacent x° = cos hypotenuse −1

opposite x° = tan adjacent −1


Example 1    Find  x   23    

x   67   opposite sin x = hypotenuse

hypotenuse * sin x = opposite

23*sin 67 = x

21= x

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Find x   23    

x   67   opposite sin x = hypotenuse

hypotenuse * sin x = opposite

23*sin 67 = x

21= x

Make sure  your  calculator  is  set  to   degrees:   1.  Press  Doc   2.  Press  7  se8ng  &  Status   3.  Press  2  Document  Se8ngs   4.  Choose  Angle:  select  Degree  


Find x   23    

x   67   opposite sin x = hypotenuse

hypotenuse * sin x = opposite

23*sin 67 = x

21= x

Make sure  your  calculator  is  set  to   degrees:   1.  Press  Doc   2.  Press  7  se8ng  &  Status   3.  Press  2  Document  Se8ngs   4.  Choose  Angle:  select  Degree  


Find x   23    

x   67   opposite sin x = hypotenuse

hypotenuse * sin x = opposite

23*sin 67 = x

21= x

Make sure  your  calculator  is  set  to   degrees:   1.  Press  Doc   2.  Press  7  se8ng  &  Status   3.  Press  2  Document  Se8ngs   4.  Choose  Angle:  select  Degree  


Find x   23    

x   67   opposite sin x = hypotenuse

hypotenuse * sin x = opposite

23*sin 67 = x

21= x

Make sure  your  calculator  is  set  to   degrees:   1.  Press  Doc   2.  Press  7  se8ng  &  Status   3.  Press  2  Document  Se8ngs   4.  Choose  Angle:  select  Degree  


Find x   23    

x   67   opposite sin x = hypotenuse

hypotenuse * sin x = opposite

23*sin 67 = x

21= x

Make sure  your  calculator  is  set  to   degrees:   1.  Press  Doc   2.  Press  7  se8ng  &  Status   3.  Press  2  Document  Se8ngs   4.  Choose  Angle:  select  Degree  


Example 1    Find  x  

34   x∘   56    

opposite x° = tan adjacent −1

34 x° = tan 56 −1

31° = x


Find x  

34   x∘   56    

opposite x° = tan adjacent −1

34 x° = tan 56 −1

31° = x


Find x  

34   x∘   56    

opposite x° = tan adjacent −1

34 x° = tan 56 −1

31° = x


Find x  

34   x∘   56    

opposite x° = tan adjacent −1

34 x° = tan 56 −1

31° = x


Find x   33    

x   37  


Find x  

x   21   43    


Find x  

43  

39 x    


Find x  

43  

19 x    


Find x   41    

x   27  


Find x  

14   x∘   35    


Find x   29    

11   x∘  


Find x   29    

x∘ 41    


Find x   29    

11   x∘  


Find x  

11   x∘   21    


Find x  

31   x∘   53    

MM trig  

MM trig problems

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