![]() ![]() 3.2, the point identified by the coordinates (–5, 3) is a. The points whose abscissa and ordinate have different signs will lie in a.The mixture consists of chocolates worth 1.50 a pound and chocolates worth 90¢ a pount. Abscissa of a point is positive in I and IV quadrants A mixture of 30 lbs of candy sells for 1.10 a pound. In the Cartesian plane, the horizontal line is called the x-axis and the vertical line is called the y-axis. NCERT Exemplar Class 9 Maths Exercise 3.1 Problem 17 Abscissa of a point is positive in a. ☛ Also Check: NCERT Solutions for Class 9 Maths Chapter 3 Therefore, the abscissa of a point is positive in I and IV quadrants. The abscissa is positive in the I and IV quadrant We know that the signs of the coordinates are Ordinate is the distance of point from x axis scaled with y axisīoth abscissa and ordinate are together known as coordinates Similarly, the third quadrant consists of both ordinate and negative abscissa. Similarly, the third quadrant consists of both. The point has to keep a negative abscissa and a positive ordinate to take place in the second quadrant. The positive value for both abscissa and ordinate will give the point placement on the first quadrant. ![]() The point has to keep a negative abscissa and a positive ordinate to take place in the second quadrant. There are four quadrants, which refer to the positive or negative values of each quadrant. ![]() The first coordinate x is called the abscissa while the second coordinate is called the ordinateĪbscissa is the distance of point from y axis scaled with x axis The positive value for both abscissa and ordinate will give the point placement on the first quadrant. So, the endpoint of an angle #x# has positive abscissa (X-coordinate) and negative ordinate (Y-coordinate), which puts it into 4th quadrant.In the coordinate (x, y) is used to denote the point in the cartesian plane Since #cot(x)=cos(x)/sin(x) 0#, #sin(x)# must be negative, which means that ordinate of a position of the endpoint of an angle #x# is negative. For example the points all these points lie in the Quadrant II. That is Abscissa is negative and ordinate is positive. A rectangular coordinates system as follows. Since #sec(x)=1/cos(x)>0#, #cos(x)>0#, which means that abscissa of a position of the endpoint of an angle #x# is positive. The abscissa is positive and the ordinate is positive means in an ordered pair the first coordinate x is called abscissa and y is called ordinate. ![]() The same arrangement as above for #cos(x)#, but in this case the ordinate (Y-coordinate) of the point #A# is, by definition, #sin(x)#. Then the abscissa (X-coordinate) of the point #A# is, by definition, #cos(x)#.įinally, recall the definition of a trigonometric function #sin(x)#: Recall the definition of a trigonometric function #cos(x)#:Ĭonsider a unit circle around the origin of coordinate #O# and a point #A# on this circle such that an angle from the positive direction of the X-axis #OX# counterclockwise to a ray #OA# equals to #x# (usually, radians). Sine is to opposite side/hypotenuse, using a triangle with sides of opposite 1, adjacent 1 and hypotenuse root (2), hypotenuse is always positive, hypotenuse root (adjacent.squared. Recall the definition of a trigonometric function #cot(x)#: Recall the definition of a trigonometric function #sec(x)#: Here is why.įirst of all, let's recall a few definitions. The endpoint of an angle #x# lies in the 4th quadrant. ![]()
0 Comments
Leave a Reply. |
AuthorWrite something about yourself. No need to be fancy, just an overview. ArchivesCategories |