I am a little confused with this trigonometry question. It says that sin0=O.
I understand that because It says sin it means quadrant 1 and 2.
The possible answers are 0, 90, 180, and 270.
I know 270 is not correct but the others are confusing me.
Angles 0, 90, and 270 lie on the x and y axis. Which quadrants are they a part of.
You can also select multiple answers.
any angle (in any quadrant) has a sine
... it's a defined trig function
using the unit circle (radius = 1)
sin = y/r , cos = x/r , tan = y/x
y = 0 on the x-axis , so the sines of 0º and 180º are zero
Thanks for the help. I think I am starting to understand it a lot better.
To determine the quadrants in which angles 0, 90, and 270 lie, we first need to understand the concept of quadrants in a coordinate plane. In a standard Cartesian coordinate system, the x-axis is the horizontal line, and the y-axis is the vertical line. The coordinate plane is divided into four quadrants, numbered from I to IV counterclockwise.
In the first quadrant (QI), both the x and y coordinates are positive.
In the second quadrant (QII), the x coordinates are negative, and the y coordinates are positive.
In the third quadrant (QIII), both the x and y coordinates are negative.
In the fourth quadrant (QIV), the x coordinates are positive, and the y coordinates are negative.
Now, let's analyze the given angles:
- Angle 0 degrees: This angle is on the positive x-axis, which means it lies in quadrant I.
- Angle 90 degrees: This angle is on the positive y-axis, which means it lies in quadrant I as well.
- Angle 270 degrees: This angle is on the negative y-axis, which means it lies in quadrant III.
So, both angles 0 and 90 degrees lie in quadrant I, while angle 270 degrees lies in quadrant III. Quadrant II is not relevant to these angles as it includes angles between 90 and 180 degrees.
Therefore, for the given question, sin 0 = O, the correct answer is 0 degrees, which lies in quadrant I.