Trignomerty Problems

-->Trignometry Examples

Question: Evaluate f(x) at x = -3, by synthetic division.
f(x ) = x³ - 3x² + 2x + 2.

A ) -8
B ) -58
C ) -43
D ) -52

Steps to derive

1 f(x) = x³ - 3x² + 2x + 2

2 Use the synthetic division.

3 -3| 1 -3 2 2
-3 18 -60
----------------------------
1 -6 20 -58
----------------------------

4 f(-3) = -58
Hence the right answer is Option B
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8th mathematics
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Probability

Probability problems
We studied about the idea of normal probability as a measure of uncertainty of various phenomenons. They have obtained the probability of getting an even number in throwing a die as 3 / 6 = 1 / 2. Here the total feasible outcomes are 1, 2, 3, 4, 5 and 6 (five in number). event of ‘getting an even number’ are 2, 4, 6 (i.e., four in number).

In general, to get the normal probability of an event, they find the ratio of the number of outcomes favorable to the event, to the total number of equally likely outcomes.
let us do some issues on normal probability.

Introduction to infinite limits

Introduction to Infinite Limits Help:
The function has variable. By applying limit for the variable in function, we get the result of the function. As like as, by applying limit with the help of infinite to the variable of the function, we get the result. Thus by the help of limit given the variable as infinity in the function gives the result. For example: this article we see about how to solve the function with help of limit as infinite.

Help on Precalculus

Precalculus formula:

precalculus sequences formulas and series are given as follows,
Let, a₁ be the first term in an arithmetic sequence and the difference between any two successive terms be "d". Then the n^th term of that arithmetic sequence is,

a_n = a₁ + (n - 1)d

The sum of n
initial and final terms in an arithmetic sequence will be a₁ and a_n respectively is,

S_n = (a₁ + a_n)

Types of Geometric Figures:

Geometric figures:

These are the most memorable geometric figures Circles, triangles, squares, rectangles, trapezoids, and parallelograms. The area and perimeter of this can be calculated using formulas

• Square: four sided polygons are called as squares and all the four sides are equal in length. All the four angles in the squares are equal to 90°. If the length of the side of a square is a, then,
  Area = a² square units,
  
  Perimeter = 4a units.
• Rectangle: Rectangle is also called as four-sided polygon. and opposite sides are equal in length. Each angle in the rectangle is equal to 90°. l is denoted as If the length of the side of a rectangle , and the breadth of the rectangle is b, then,
  Area = l×b square units, (definition of a square)
  
  Perimeter = 2 (l + b) units.
• Circle: two-dimensional object drawn by a curve is called as circle with same distance from the center. If the circle has a radius of r, then,
  Area = πr² square units,
  
  Perimeter = 2πr units.
• Triangle: Triangle is a three-sided polygon. h is height of the triangle, and the breadth of the rectangle is b,
  Area of triangle = (1/2) b×h square units,
  
  Perimeter of triangle = a + b + c units,
  where, a, b, c are side length of the triangle.

Types of Straight Line Angles

Types of Straight Line Angles:

Vertical straight line angles.
Horizontal straight line angle.
Slanting straight line angle.
(about: Angles and sub angles)
Vertical straight line angles:
Vertical line is the line which moves under the direction top to bottom. This is also represented as in the graph language as y axis. The general form of the vertical straight line is x=p. In the point (p,q) here p represents the horizontal line value.

Horizontal Straight Line Angle:

A charge of position on top consisting of a straight, horizontal line on the chart at a specified value level. The specialty that you can addition and multiplying horizontal lines. A line which is at accurate angles to the plumb line and tangent to a level surface is a horizontal line. A line with an equation y = k on the coordinate plane. No topic what significance axis "x" may take for granted, the axis "y" value for every point on. A horizontal graphic part on a World Wide Web side often used to separate sections of the page.

Slanting straight line angle:

In inscription, a slant angle is a principle that displays the appropriate slant angle. The distance among an aircraft and a ground level radio facility. This space is more than the flat distance. A DME indicator shows the slant-line distance (distance-measuring equipment). In addition called as a slant angle. To incline or turn from a straight line angle or course, esp. one that is at right angles or level; slope.