Week 16 – Math 11

This week in math 11 we started out last unit on Trigonometry. Some of the important vocal in this unit is, rotational angle meaning the angle formed from the initial arm, standard position meaning the initial arm is on the positive x-axis, and co-terminal angle meaning you use the same terminal arm and reference angle but you rotate clockwise. The difference between the rotational angle and a reference angle is a rotational angle is how far the angle has rotated around, and a reference angle is the distance of the angle to the closest horizontal axis. The best thing to do in this unit is draw yourself a picture so you can visually see what is going on.

If you were asked to determine the reference angle of an angle in standard position this is how you would do it. First you are going to want to draw yourself a picture so you are clearly able to see whats going on. From there you an draw the angle it gives you, in this case the angle that was given was a standard angle of 98 degrees. Now to find the reference angle what you are going to want to do is look to see what quadrant the angle is in, this one is in quadrant II so you are going to want to take 180 (the value of the closest horizontal axis) and subtract 98 from it. 180-98=82 so that means 82 is the reference angle. If the that was given was in the first quadrant tough the rotational angle and the reference angle are then the same.

If instead of being given and angle you are given coordinates then you would do the same quadrant drawing, graph the point and from there create you triangle, use a^2+b^2=c^2 to find the last side then repeat the same process depending on what they are asking you to find. Solving using Sine Cosine and Tangent are still the same but now the angles are able to be both positive and negative. 

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