Trigonometry

Study of triangles:

       - Angles add up to 180 degrees

       - Triangles have 3 sides and 3 angles (vertices)

Types of triangles:

       By angles:                       or                      by sides:

     - acute - 3<90 degrees                              - isosceles - 2 sides =

     - obtuse - 1>90 degrees                            - equilateral - all sides =

     - right - 1=90 degrees                               - scalene - no sides =

Pythagorean Theorem 

         A2 + B2 = C2

               x2 + 92 =152

                x2 =152 - 92

                  x2 = 144       

            x = 12

Trig Ratios

     - SineΘ 

      - Cosine Θ

      - Tangent Θ

                  

 Sine Θ = opposite (over) Hypotenuse

 Cosine Θ = adjacent (over) Hypotenuse 

 Tangent Θ = opposite (over) adjacent

           Label

Θ = 37 degrees                     sine Θ = O / H

O = 11 cm                             sine 37 = 11 / x

A =

H = x

Label the Sides

                        S o/h C a/h T o/a

Θ = 24 degrees

O =

A = x

H = 15

cos24 =  x/15

15(0.9135)=(x/15)15  13.7025 = x

Θ = 24 degrees                cos24 = x/25

O =                                   25(.9135)=(x/25)25

A = x                                22.8375 = x

H = 25

Θ = theta           tan(theta)= O/A

O = 3                 tan(theta) = 3/6

A = 6                 tan(theta) = 0.5

H =                   (theta) = 27 degrees

THE BEE!!

There was an evil bee/wasp/monster/devil thing in the room today and it almost ate and destroyed us all!! It totes probs almost set the school on fire.........

                                                               This is what it looked like ->