2.  Introduction  Recap  Different Trigonometric Identities › Pythagorean identities › Reciprocal Identities  How these work  Q and A

3.  Equations and Equalities that involve trigonometric functions  Variables (a, b, x, y, etc.) in every identity › TRUE for any value of the variable

4. Hypotenuse Longest line opposite right angle Opposite Line opposite the angle that you are finding Adjacent Shorter line touching the angle you are finding

5.  Basic Functions (SOH CAH TOA) › Sine (sin) – opposite / hypotenuse › Cosine (cos) – adjacent / hypotenuse › Tangent (tan) – opposite / adjacent  Inverse Functions › ArcSine (sin -1 ) › ArcCosine (cos -1 ) › ArcTangent (tan -1 )

6.  Other Functions › Cosecant (cosec) – hypotenuse / opposite › Secant (sec) – hypotenuse / adjacent › Cotangent (cotan) – adjacent / opposite

7.  (sinθ) 2 + (cosθ) 2 = 1  1 + (tanθ) 2 = (secθ) 2  1 + (cotanθ) 2 = (cosecθ) 2

8.  (sinθ) 2 + (cosθ) 2 = 1  ( 3 / 5 ) 2 + ( 4 / 5 ) 2 = 1  9/25 + 16/5 = 1  25/25 = 1  Pythagoras Theorem  Adjacent 2 + Opposite 2  = Hypotenuse 2 37.9 o 3cm 5cm 4cm

9.  1 + (tanθ)2 = (secθ)2  1 + ( 3 / 4 ) 2 = ( 5 / 4 ) 2  1 + 9/16 = 25/16  25/16 – 9/16 = 1  16/16 = 1 37.9 o 3cm 5cm 4cm

10.  1 + (cotanθ) 2 = (cosecθ) 2  1 + ( 4 / 3 ) 2 = ( 5 / 3 ) 2  1 + 16/9 = 25/9  25/9 – 16/9 = 1  9/9 = 1 37.9 o 3cm 5cm 4cm

11.  Identities, where: › A function being used on a particular angle = the reciprocal of another function used on the exact same number › Thus the name is pretty much largely self- explanatory ^^  Essentially, it was made with very close reference to the reciprocal functions

12.  sinθ = 1 / cosecθ & cosecθ = 1 / sinθ  cosθ = 1 / secθ & secθ = 1 / cosθ  tanθ = 1 / cotanθ & cotanθ = 1 / tanθ

13.  Any Questions?