What does the slope have to do when the tilt angle is a complementary angle

The inclination angles are complementary, the two slopes are opposite to each other, the two straight lines are perpendicular to each other, the slope is the reciprocal of the opposite number k1 x k2 =- 1, the inclination angles of the two straight lines are mutually reinforcing, and the slope product = 1.

In the same plane, if two angles that do not coincide and have the same apex angle add up to 180 degrees, then we call the two angles complementary (complementary).

If the degrees of angle A and angle B add up to 180 degrees, then angle A and angle B are complementary angles to each other, a is the complementary angle of B, and B is the complementary angle of angle A.

The position of the two angles does not affect their complementary angles, and to judge whether the two angles are complementary, it is only necessary to satisfy: the sum of the two angles is equal to 180°.

The inclination angles are complementary, and the two slopes are opposite to each other!

Proof: Assuming that the angle of the angle is a, then the angle of the obtuse angle is: -a

Then: tan( -a)=-tana

The slope of the perpendicular multiplied equals -1

oblique circle block rate k=tan

When +, k=tan =tan( -tan

That is, when the tilt angle is a complementary orange call angle, the slopes are opposite to each other.

Tilt angle. Complementary, the two slopes are inverse numbers of each other.

The reciprocal of two jujube balance lines perpendicular to each other and the slopes of each other is the opposite of each other, k1 x k2 =-1

The inclination angles of the two straight lines are mutually congruent, and the slope product = 1

Tilt angle vs. slope: k=tan.

k is the slope and is the angle of inclination. The slope is equal to the tangent of the tilt angle, such as the simple proportional function y=x, the slope is 1, the tilt angle is 45 degrees, and tan45°=1.

The inclination angle, also known as the inclination angle, is defined as that in the plane Cartesian coordinate system, when the straight line l intersects with the x-axis, we take the x-axis as the reference, so that the x-axis rotates around the intersection point in the counterclockwise direction (positive direction) to the smallest positive angle that coincides with the line l, then it is called the inclination angle of the straight line l. When l is parallel or coincident with the x-axis, we specify that it has an angle of inclination of zero degrees.

The image is judged to be the angle of the straight line upward and the right x-axis.

Slope, a mathematical, geometric term, is a quantity that represents the degree to which a straight line (or tangent of a curve) is tilted with respect to the (horizontal) coordinate axis. It is usually expressed as the tangent of the angle between the straight line (or the tangent of a curve) and the (horizontal) axis, or the ratio of the difference between the ordinates of two points to the difference between the abscissa of the abscissa.

Slope, also known as "angular coefficient", is the tangent of a straight line to the positive angle of the abscissa axis, reflecting the inclination of the straight line to the horizontal plane. The tangent of the angle between a straight line and the abscissa axis of a plane Cartesian coordinate system, that is, the slope of the straight line relative to the coordinate system.

If the line is perpendicular to the x-axis, the tangent of the right angle is tan90°, so there is no slope of the line (the slope of the line can also be said to be infinite). When the slope of the line l exists, for the primary function y=kx+b (oblique truncation), k is the slope of the image of the function.

The slope is equal to the tangent of the tilt angle.

The inclination angle is the angle between the tangent of a point on the function image and the x-axis, each point has its corresponding inclination angle, and the slope is the tangent of the inclination angle, that is, if the inclination angle is expressed as , the slope is tan

The slope and inclination angle of each point on a straight line (a primary function) are equal, but the slope and inclination angle of a point on a curve (such as a quadratic function) are not necessarily equal. At the same time, the slope is the derivative of the original function.

Extended information: The slope of the upper point of the curve reflects how quickly the variables of the curve change at that point.

The trend of the curve can still be described by the slope of the tangent of a point on the curve, i.e. the derivative. The geometric meaning of the derivative is the tangent slope of the curve of the function at this point.

f'(x) When >0, the function increases monotonically in the interval, and the curve shows an upward trend. f'(x) When <0, the function decreases monotonically in the interval, and the curve shows a downward side-side collapse.

In (a, b) f''(x) <0, the graph of the function in that interval is convex (viewed from top to bottom); f''(x) > 0, the graph of the function in that interval is concave.

Slope formula. 1. When the inclination angle of the straight line is (90°), the slope of the straight line k=tan. Slope formula.

2. When the straight line is not perpendicular to the x-axis (inclination angle ≠90°), take any two points on the straight line a(a,b), b(c,d), and the slope of the straight line k=(d-b) (c-a) or k=(b-d) (a-c). Note: When the inclination angle of a straight line is equal to 90°, the straight line has no slope, which is also said to be the slope of the straight line does not exist.

It can be seen that the tilt angle of the straight line is often inevitably taken into account when discussing the slanted sock tracking rate of a straight line, so the slope of a straight line is closely related to the inclination angle of the straight line.

<>(1) When the inclination angle of the straight line l ≠90°, the tangent value tan exists, and the slope k=tan is present.

2) When the inclination angle of the straight line l = 90°, the tangent value tan does not exist, and the slope k does not exist at this time.

3) If the slope of two straight lines is equal, then their inclination angles are equal; If the slopes of two straight lines are not equal, then their angles of inclination are not equal.

4) If the inclination angles of two straight lines are not equal, their slopes must also be unequal; If the inclination angles of two lines are equal, then their slopes either exist and are equal, or neither is there.

1. The inclination angle of the straight line.

1. In the plane Cartesian coordinate system, the inclination angle when the line is parallel or overlapping with the x-axis is specified to be 0°.

2. In the planar Cartesian coordinate system, when the straight line is not parallel or overlapping with the x-axis, it must intersect with the x-axis. In this case, the angle between the forward direction of the x-axis and the upward direction of the straight line is called the inclination angle of the straight line.

Note: The value range of Straight Line Tilt Angle is: 0° 180°.

2. The slope of the straight line.

1. When the inclination angle of a straight line is not equal to 90°, the slope k of a straight line is often used to describe the inclination of the straight line. Define the slope of the straight line k to be equal to the tangent of the inclination angle of the straight line, i.e., k = tan

2. In particular, for the proportional function y=kx(k≠0) and the primary function y=kx+b(k≠0), the coefficient k of x is the slope of the straight line corresponding to the proportional function y=kx and the primary function y=kx+b.

3. The relationship between the slope of the straight line and the angle of inclination.

<>(1) When the inclination angle of the straight line l ≠90°, the tangent value tan exists, and the slope k=tan is present.

2) When the inclination angle of the straight line l = 90°, the tangent value tan does not exist, and the slope k does not exist at this time.

3. If the slope of two straight lines is equal, their inclination angles are also equal; If the slopes of two straight lines are not equal, then their angles of inclination are not equal.

4) If the inclination angles of two straight lines are not equal, their slopes must also be unequal; If the inclination angles of two lines are equal, then their slopes either exist and are equal, or neither is there.

5. When the inclination angle of the straight line increases from 0° to 90°, the slope k increases from 0 to "positive infinity". i.e. [0°,90°), k [0,+

6. When the inclination angle of the straight line increases from 90° to 180°, the slope k increases from "negative infinity" to 0. i.e. (90°, 180°), k (-0).

Note: When the inclination angle of the line = 90°, tan does not exist, and the slope k of the line does not exist.