Month: October 2016

How To Use sin,cos,tan

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This week in math we learnt how to use sine, cosign, and tangent. There is an easy way to remember each one of their functions.

SOH= Sin= Opposite/Hypotenuse

CAH= Cos= Adjacent/Hypotenuse

TOA= Tan=Opposite/Adjacent

Depending on what angle/side of the triangle you need you use that function. The first step of solving your equation is to always label your triangle with the hypotenuse, opposite, and adjacent. Then you have to figure out which function you need to use. After you figure that up you set up your equation and solve it.

Example:

trig

To find x you have to use sine or tangent. I am going to use sine.

sin(65)=(\frac{x}{6})

.906307787*6=x

x=5.44

 

LateX coding

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Example 1: Exponents

5^2

Example 2: Two Digit Exponents

5^{-1}

Example 3: Fractions

\frac{2}{3}

Example 4: Adding Trig Functions (sin,cos,tan)

\tan(\theta)=\frac{9}{12}

Example 5: Adding Trig Functions (sin)

\sin(32^{\circ})=\frac{x}{2}

Example 6: Adding Trig Functions (cos)

(\theta)=cos^{-1}(\frac{3}{5})

How to find the Surface Area and Volume of a Hemisphere

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This week in math we got to learn how to find the volume and surface area of a hemisphere. If you need to find the volume of a hemisphere it’s just the equation to find the volume for a normal sphere, but you just need to divide the equation by 2. For finding the surface area you need to divide the equation to find the surface area for a sphere by 2, and then add πr^2. Here is my example

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How to read a Micrometer in Metric Units

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This week we learnt how to read a micrometer in metric units. First you have to figure out what number is on the horizontal line. Each indent represents .50mm so in this picture, the total is 1.5mm. Then you have to read the vertical line which goes up by .01mm. In this picture it reads to .49mm. Then you add both numbers up so 1.5+.49 which equals to 1.99mm.

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What I learned in Math this week

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This week in math I got to learn how to solve an equation where the exponent is a fraction. The base of the power is the radicand in the new equation. The denominator in the fraction is the index and the numerator turns into the exponent. The first way I wrote it is very helpful when you are not using a calculator to solve the problem. The second way is typically used for when you are using a calculator. 14550872_1120847524665565_965934266_o