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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