5.4 Evaluating Trigonometric Ratios for Any Angle Between 0 & 360

5.4 Evaluating Trigonometric Ratios for Any Angle Between 0 & 360

1. General Information

   • This is how to find an angle with co-ordinates
   • X=Length Y: Height R: Hypotenuse
   • Find the Angle in a problem do the inverse of the fraction wether it be sin, cos, tan, of the y/r etc. thats to find the B if your asked to find the RAA subtract or add either 180 or 360 depends on the quadrant it lands on

2. How to solve this

   • First: address what the question is asking you and plot the co-ordinate
     • 2) Sketch the angles and draw the triangles Label: your x,r,y
       • Then determine the ratios by using sin, cos and tan applying y/x, x/r, and y/x using the co-ordinates and your found 'r' value
         • if you are asked to find counterclockwise that is your "B" if you are asked to find your clockwise find the angle

3. Going from an angle using special triangles:

   • First: find the angle by adding or subtracting by 180 or 360 whatever value you have will determine the triangle you have. Also the angle given will tell you what quadrant your triangle will be in
     • When finding the degree: it will be the fraction and draw the triangle if your get a decimal number do the x-1 of that number and that will give you the RAA

4. The cartesian plane axes

   • R= 1 always

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