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Table of tangents

The table of tangents contains values for every acute angle from 0o to 90o. Each angle has a unique tangent ratio. This ratio is formed when two lines meet to make the angle. Every combination of opposite and adjacent lines that makes a right angled triangle has a unique angle which they make. If we know the acute angle in a right angled triangle, we can use tables of tangents. This helps us…

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Tangent of an angle

Tangent of an angle is a ratio of two sides of a right angled triangle. It is one of the trigonometric ratios. Trigonometric ratios expresses an acute angle formed in a triangle as the ratio of the two sides out of three that makes a triangle. Consider a triangle ABC shown below. The triangle is a right angled triangle because one of it’s sides is 90o. Angle ABC is 90o and is usually…

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Equations of straight lines

The equations of a straight lines describes a relationship between two variables. This variables are usually described as x which is independent variable and y which is dependant variable. The value of x determines the value of y in the line. consider two arbitrary points on a Cartesian plane shown below. Any two points joined together can make a straight line. Let the points be A(x1 y1) and…

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Integrating products of secants and tangents

When integrating products of secants and tangents, we are integrating expressions that are in the form: $$\int tan^m(x)sec^n(x) $$ secant and tangent are both trigonometric functions that relate the angles of a right triangle to the ratios of its sides. There are several cases to consider in this type of integration. case 1 This is a case where m is an odd positive integer . In this case we…

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How planet earth will end

Will the earth and other planets end or will they live forever? The theory about end of planet earth is as controversial as the information about how it came to existence. From the loud bang theory to creation theory. Nobody seems to give satisfactory answer. Probably it is because nobody was there to witness it, we all find ourselves on the planet. We don’t even know what happens after we exit…

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Need for a break? That is very much in order

We all need a break from anything that keeps us engaging for a long time. Whether good or bad, everything that takes our and time soon causes us feeling of resentment. We therefore longs for a break from anything that is too much for us. The things that causes us to want a break can vary from job to relations to personal developed. We don’t like too much of anything. That is a fact

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Resistors

Resistors are materials that offers resistance to the flow of an electric current. Resistors are usually categorized into two: fixed resistors variable resistors Fixed resistors These are resistor whose resistance is almost constant. Resistors are commonly made from mixture of carbon and carrier material where the two are mixed and baked together. The baked mixture is then covered with a…

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Quadratic Equations 2

Quadratic equations is any equation of the form ax2+bx+c=0 where a is not zero. In other words, quadratic equation is a quadratic expression that is equated to a zero as a value. solving quadratic equations methods of solving quadratic equations includes: factorization which involves rewriting the equation as a product of two binomials. completing the square which involves rewriting the…

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Potential Difference

The potential difference between to points A and B (Vab) of a conductor is defined as the work done in moving unit charge from point B to A of the conductor. $$ potential difference = \frac{\text{work done W (in joules)}}{\text{charge moved Q(in coulombs) }} $$ $$V_{AB} = \frac{W}{Q}$$ One volt is equal to one joule per coulomb. Potential difference is measured in volts using a…

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Githeri

What’s your favorite thing to cook? I like githeri because of its simplicity. The gradients of githeri are only two; maize and beans. Preparation of githeri is very simple. Just wash both maize and beans together. Put them in the pot, leave them to boil until it softens. You can do many other things when githeri is cooking. For example as a programmer,  I can hundreds of codes while it is…

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Electric current and potential difference (2)

An electric current is the rate of flow of charge through a conductor. Electric current is measured in amperes by an instrument called ammeter. The figure below shows an ammeter. An ammeter Electric current flows between two points in a closed path due to a potential difference between those two points. Sometimes the flowing current can be too small to me measured by an ammeter. A more…

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Ethical issues in Research

Ethical issues in research include moral dilemmas and concerns. These arise when conducting research involving humans. Animals and sensitive data are also involved. These issues ensure that research is done responsibly, fairly, and transparently. They respect the rights, dignity, and well-being of participants. They also maintain the integrity of the research process. In essence, ethical issues…

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8 BASIC TERMS IN EDUCATION RESEARCH

Basic terms in education research represents the vocabulary used in the topic. In educational research, there are several key terms and concepts that are commonly used. Here are some of the basic ones: Population It refers to the group of individual, events/ objects having common observable characteristics It may also refer to the aggregate of all that confirms to the given specifications.eg.…

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Rationalizing a denominator: concise easy approach2

Rationalizing a denominator means eliminating any radicals (like square roots) from the denominator of a fraction. To do this, multiply both the numerator and denominator by a value. This value should make the denominator a perfect square or a rational number. Here’s an example: Suppose you have the fraction: $$\frac{1}{\sqrt{2}}$$ To rationalize the denominator, you multiply both the…

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Arrangement of cells: Easy introduction 1

In current electricity, the term arrangement of cells refers to how individual electro-chemical cells are connected in an electrical circuit. These cells can be arranged in series or parallel: Series Arrangement of cells Cells are said to be in series arrangement when positive terminal of one cell is connected to the negative terminal of the next cell. When two or more cells are connected in…

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Electromotive force and potential difference: introduction 1

Electromotive force is the energy required to drive electrical charges through a conductor. A cell is the device that produces electrical potential difference at the ends of the conductor. The cell or the battery does the work of pumping charges to a high potential so that they can flow. The higher the potential difference (p.d), the stronger the current in the circuit while all other factors are…

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Form 4 schemes of work term 1 2025.

Here is form 4 schemes of work for term one. Term 1 Physics Schemes of workDownload Related topics Mathematics Physics Computer Science Communication Skills Psychology 15 great Educational research terms The equation of a circle