If you draw this angle in a coordinate system, a right triangle is formed in the second quadrant, with length legs 12 and 5 units. If you label with O the angle that is formed by the terminal side and y-axis, you have
tan O = 12/5 and
O = tan-1 12/5 = 67.38 degrees
Thus, the given angle has a measure of 157.38 degrees (90 + 67.38).
Quadrantal angle
We assume that the ambient space is equipped with the standard Cartesian coordinate system and specify points by their Cartesian coordinates.The Cartesian coordinates of a point in the plane are a pair (x,y).The homogeneous coordinates of a point in the plane are a triple (x,y,w) with w!=0. The Cartesian coordinates of a point with homogeneous coordinates (x,y,w) are (x/w,y/w).Remark: We notice that the homogeneous coordinates of a point are not unique. Two triples that are multiples of each other specify the same point.The Cartesian coordinates of a point are of type double in the floating point kernel and of type rational in the rational kernel. The homogeneous coordinates of a point in the rational kernel are of type integer. Points in the floating point kernel are stored by their Cartesian coordinates.For points in the rational kernel it is more efficient to store them by their homogeneous coordinates, i.e., to use the same denominator for x- and y-coordinate.For compatibility also points in the floating point kernel have homogeneous coordinates (x,y,1.0). These homogeneous coordinates are of type double.
Draw a picture of this you will see that you can form a triangle with the radius of the circle being 1. This is the hypotenus of the triangle Using trig, x = cos 50 y = sin 50 P is (x,y) = P is (cos 50,sin 50) = (0.643, 0.766)
It's not supposed to, but that hasn't stopped teachers from teaching that it can be negative. Generally, we don't like to start equations with a negative number. That's why we say A, B, and C must be integers with A and B both not equal to zero, and A greater than or equal to zero. I've also seen Ax+By+C=0, but I disagree with that as well. The point is to solve systems and graph them easily, and having it set as Ax+By=C is probably a little better. There's no set rule. It's sort of like defining a trapezoid. Does it have to have exactly one pair of parallel lines, or can it have two pairs of parallel lines? Both of these definition are controversial. To answer your question, it's up to you. Beware, some college professors hate seeing A negative. No one will disagree with you if A is positive. It's always better to write A positive.
The graph of a quadratic function is always a parabola. If you put the equation (or function) into vertex form, you can read off the coordinates of the vertex, and you know the shape and orientation (up/down) of the parabola.
The standard speaker wire colors for positive and negative terminals are typically red for positive and black for negative.
The mean would be negative, but standard deviation is always positive.
The standard position of 790 degrees is 70 degrees anticlockwise from the positive x-axis.
Black for negative and red for positive.
Try to visualize the numbers on a number line. If one number is more to the right than another one (with the number line in standard position), it is greater. Specifically, any positive number is greater than any negative number.
On a Cartesian plane (or one using polar coordinates), the vertex of the angle must be at the origin and one of the rays must lie along the positive x-axis (point towards the East).
A negative Z-Score corresponds to a negative standard deviation, i.e. an observation that is less than the mean, when the standard deviation is normalized so that the standard deviation is zero when the mean is zero.
There is no standard for locating the positive or negative posts on a battery. You must look fot the " + " symbol on the battery. The positive post is slightly larger than the negative post.
With the standard notation, If b2 < 4ac then the discriminant is negative If b2 = 4ac then the discriminant is zero If b2 > 4ac then the discriminant is positive
Yes, use standard jumper cables. Connect positive to positive and negative to negative. Remove as soon as vehicle starts.
The standard set up would be to move up for positive values and down for negative.
Look on the numbers on the number line. Numbers more to the left are smaller than numbers more to the right (assuming the number line is written in the standard position). All negative numbers are less than zero; positive numbers are more than zero.