Algebra4

Dear alien,

Today I want to tell you about multiplication. A multiply is a method for finding the probability that both of two events occur. We use in it some numbers or variables that we called it by names maybe you don’t know it. First, a multiplicand is the number that gets multiplied. For example, in 6 x 3 = 18, 3 is the multiplicand. Second, a multiplier is the number that you are multiplying by. For example, in 6 x 3 = 18, 6 is the multiplier. Finally, a product is the answer when two or more numbers are multiplied together or we can say it is the result of multiplying a set of numbers or expressions. That is what I have today to tell you about. I’ll tell you more in next time. Have a good day.

Important Formula:

Sin(q) = Opposite / Hypotenuse

Cos(q) = Adjacent / Hypotenuse

Tan(q) = Opposite / Adjacent
Cotan(q)= Adjacent / Opposite
Secant(q) = 1 / cosine
Cosecant(q) = 1 / Sine

Example :

Let's saythat a = 3 , b = 4 , c = 5

Sine(q) = a / c = 3/5

Cosine(q) = b/c = 4/5

Tan(q) = a/b = 3/4

Cotan(q) = b/a = 4/3

Secant(q) = 1 / cosine(q) = 5/3

Cosecant(q)= 1 / sine(q) = 5/4

it's really interesting to study math!

arc length formula

The arc length for a sector of a circle is given by the arc length formula S = r.θ

Here S - represents the arc length - represents the radius of the circle θ - represents the angle in radians made by the arc at the centre of the circle The application of the arc length formula can be better understood with an example Find the length of the arc using the Arc length formula which subtends an angle of 60 degrees at the centre of a circle whose radius is 5 cms. Step1: The angle subtended by the arc is given in degrees. So need to convert the angle in to radians using a simple formula. π radians = 180 degrees Divide both sides by 3 π/3 radians = 180/3 = 60 degrees

Now we have the radian measure of the angle as pi/3, the radius is given as 5 cms, apply the arc length formula S = r.π

S = 5 . π/3

We know the value of &pi is 3.14 (approx) but to get a more precise value key in the computation using your graphic calculator.

So arc length S is given by 5 . π/3 = 5.2359 cms

Note: The radian measure of an angle is used instead of the degree measure to simplify the arc length formula.

Maximum and minimum of function

One day, my small brother came to me, and he asked me what is the maximum and the minimum of a function? Then I said "Hmm, do you know how to drow a function?" Then he said "Of course" Then I said "If you have a function and you draw it, you'll find a maximum point and a minimum point. Likne this picture.
Then he understood it.
He said that the mathematics is a beautiful world. Then I said " I totaly agree with you".

Algebra3

Dear alien,

Remember last time we studied addition. The addition has some property when you do the sum of thing. Zero property is one from the addition properties, and we can say it’s the sum of zero and a number when you add them together it will be the same as that number, for example (5 + 0 = 5). When we use the variable in any equation and we want to know how much the variable? We use the equation to know the solution of that variable, for instance (A + 0 = 5) the solution of A will equal 5. That’s what I have now next time we will have a new thing for you.