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# Trigonometric Ratios in Geometry

## Trigonometric Ratios

**In this hub we are going to be looking at the trigonometric ratios. Here we have a right angled triangle and the angle has been marked as “theta”.**

**So this symbol equals theta, one of the letters of the Greek alphabet.**

**Now we will name the sides of the triangle in relation to the symbol theta.**

**The hypotenuse is always the longest side in a right angled triangle.**

**Directly across from theta is called the opposite side**

**The side next to “theta “is named the adjacent side**

**Sin theta**

**Cos theta**

**Tan theta**

**Sine - Sin S ^{O}/_{H}**

**Cosine ****- Cos C ^{A}/_{H}**

**Tangent - Tan T ^{O}/_{A}**

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**These are the Trigonometric Ratios **

**You will have to memorise these**

**An easy way is;**

**Some Old Hags Can’t Always Hide Their Old Age**

** S ^{O}/_{H }**

**C**

^{A}/_{H }**T**

^{O}/_{A}

**Examples;**

**For the triangle on the right find;**

**Sin θ =**

**Tan θ =**

**Cos θ =**

**1. Sin θ = S ^{O}/_{H }= ^{8} / _{10}**

**2. Tan θ = T ^{O}/_{A }= ^{8} / _{6}**

**3. Cos θ = C ^{A}/_{H }= ^{6} / _{10}**

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## Comments

Hi,

Need i more help from you.

I tried searching sin theta table for multiples of 5 on internet which is in fractions. Like sin theta 75 degree, 80 degree etc in fractions. But the search showed sin theta table in decimals. Do you have one with fractions?

My purpose is to learn these fractions so as to answer area of triangle questions by the 1/2 ab sin theta formula, where a & b are the sides and theta is the angle between them.

Also are there any other trigonometric formulas for finding areas of geometric figures?

thinks that wuz very hel[ful

Useful information

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