This is a VERY important question and I am glad you asked it. First you have to remember that in drawing angles we think of 4 quadrants. Think of the XY plane - the first quadrant is where BOTH X and Y are positive. In the 2nd quadrant the X is negative and the Y is positive. In the 3rd quadrant the X and the Y are negative. In the 4th quadrant the X is positive and the Y is negative. Normally when we draw an angle we draw an angle less than 90 degrees. However, we can draw any angle we want from 0 to 360. However that angle can be represented by an angle less than 90 degrees in a certain quadrant. Take an angle like 120 degrees. That angle is the same as a 60 degree angle in the 2nd quadrant. A 210 degree angle is the same as a 30 degree angle in the 3rd quadrant. A 359 degree angle is the same as a 1 degree angle in the 4th quadrant. Those smaller angles are reference angles. This explanation would be better if I could insert graphs. I have attached a link to a picture. Alpha is the angle and Beta is the reference angle.
120 degrees is an obtuse angle
An angle of 120 deegrees is an obtuse angle because it is higher than an right angle 90 deegrees.
The difference between +120 and -20 is 140 degrees.
An obtuse angle
positive 120 ÷ -6 = -20 -20 × -3 = 60
HI
A Quadrantal angle is an angle that is not in Quadrant I. Consider angle 120. You want to find cos(120) . 120 lies in quadrant II. Also, 120=180-60. So, it is enough to find cos(60) and put the proper sign. cos(60)=1/2. Cosine is negative in quadrant II, Therefore, cos(120) = -1/2.
A Quadrantal angle is an angle that is not in Quadrant I. Consider angle 120. You want to find cos(120) . 120 lies in quadrant II. Also, 120=180-60. So, it is enough to find cos(60) and put the proper sign. cos(60)=1/2. Cosine is negative in quadrant II, Therefore, cos(120) = -1/2.
They're all positive.
AnswerThere is no positive and negative. There is hot and ground. The hot (120 volts AC) is in reference the ground (Earth).
127
An angle of 120 degrees is an obtuse angle
Example: Express sin 120⁰ as a function of an acute angle (an angle between 0⁰ and 90⁰).Solution:Each angle θ whose terminal side lies in quadrant II, III, or IV has associated with it an angle called the reference angle, alpha (alpha is formed by the x-axis and the terminal side).Since 120⁰ lies on the second quadrant, then alpha = 180⁰ - 120⁰ = 60⁰.Since sine is positive in the second quadrant, sin 120⁰ = sin 60⁰.Example: Express tan 320⁰ as a function of an acute angle.Solution:Since 320⁰ lies on the fourth quadrant, then alpha = 360⁰ - 320⁰ = 40⁰.Since tangent is negative in the fourth quadrant, tan 320⁰ = -tan 40⁰.
If the line is negative then that means that you have to bet that amount to win $100. If it's positive, then a $100 bet will win the positive amount. So -120 means that you have to bet 120 to win 100. If it was +120 then a 100 bet would win 120
This is a VERY important question and I am glad you asked it. First you have to remember that in drawing angles we think of 4 quadrants. Think of the XY plane - the first quadrant is where BOTH X and Y are positive. In the 2nd quadrant the X is negative and the Y is positive. In the 3rd quadrant the X and the Y are negative. In the 4th quadrant the X is positive and the Y is negative. Normally when we draw an angle we draw an angle less than 90 degrees. However, we can draw any angle we want from 0 to 360. However that angle can be represented by an angle less than 90 degrees in a certain quadrant. Take an angle like 120 degrees. That angle is the same as a 60 degree angle in the 2nd quadrant. A 210 degree angle is the same as a 30 degree angle in the 3rd quadrant. A 359 degree angle is the same as a 1 degree angle in the 4th quadrant. Those smaller angles are reference angles. This explanation would be better if I could insert graphs. I have attached a link to a picture. Alpha is the angle and Beta is the reference angle.
120 degrees is an obtuse angle