Mistake of the week-15
Math Vocabulary:
Quadrants– The four sections that are created when there is an x and y axes plane.
Standard Position (Initial arm)– The initial arm is where we start from, in this case our initial arm will always be the x-axis between quadrant 1 and quadrant 4.
https://www.expii.com/t/standard-position-of-an-angle-5217
Terminal arm (terminal side)- Where we end, it can be in any quadrant.
Rotation Angle– Amount of rotation (angle) between the initial arm and terminal arm.
Reference Angle– The reference angle can be in all four quadrants, it is the angle formed by the terminal side, always from the horizontal (x-axis). Always less or equal to 90°.
Ratios– Ratios used to find missing sides or angles of a triangle. The three ratios are sine, cosine, and tangent.
Hypotenuse- Longest side of the triangle, always across the 90°.
Adjacent- This depends on where the reference angle is located, but it is always in the side that is right besides it.
Opposite- This depends on where the reference angle is located but it is always opposite to it.
Reference angle is at the left corner.
https://www.mathsisfun.com/algebra/trig-finding-side-right-triangle.html
Best mistake of the week:
Workbook Page 163, number 3a:
State the reference angle and sketch the rotational angle:
My mistake:
The reference angle will always be close to the x-axis, a common error is to find it by using the y-axis, which is what i did. Because I found the one close to the y-axis, my answer was wrong.
Why is this important?
It is a rule that I have to remember every time I solve one of these problems. it is difficult to see if the answer is wrong because you don’t really know what the angle is. Therefore, we have to be very careful when solving one of these during a test.
What I did:
Solution:
The solution is correct.
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