Trigonometric Values in Different Quadrants
The values of various trigonometric functions in different quadrants can be learn by studying the table added below as,
|
Quadrant |
Sin |
Cos |
Tan |
Cosecant |
Secant |
Cotangent |
|---|---|---|---|---|---|---|
|
1st Quadrant |
+ |
+ |
+ |
+ |
+ |
+ |
|
2nd Quadrant |
+ |
– |
+ |
+ |
– |
– |
|
3rd Quadrant |
– |
– |
– |
– |
– |
+ |
|
4th Quadrant |
– |
– |
– |
– |
+ |
– |
In the 1st quadrant, all trigonometric ratios are positive. In the 2nd quadrant, Sine and Cosecant are positive (+), while Cosine and Secant are negative (-). In the 3rd quadrant, Tangent and Cotangent are positive (+), while Cosine and Secant are negative (-). In the 4th quadrant, Sine and Cosecant are negative (-), while Cosine and Secant are positive (+).
Read More,
Quadrants in Geometry
Quadrant is defined as a region in space that is divided into four equal parts by two axes namely the X-axis and the Y-axis in the Cartesian Plane. These two axes intersect each other at 90 degrees and the four regions so formed are called four quadrants, namely I quadrant, II quadrant, III quadrant, and IV quadrant.
In this article, we will explore essential quadrant concepts, including what a quadrant is, its area, quadrant graph, Cartesian Plane, sign conventions within the quadrant, abscissa, and coordinate, as well as the plotting of points on a quadrant.
Table of Content
- What are Quadrants of Graph?
- Sign Convention in Quadrants
- Plotting Points on Quadrants
- Trigonometric Values in Different Quadrants