TRIGONOMETRY 4.1

The New Chapter we started is consisted of what makes up a triangle to its angles and in relation with its sides.

Day 1 we learned to obey the SOH CAH TOA ritual to help us with remember what to use.

As S=Sine C=Cosine T=Tan

O= Opposite The opposite of the angle which it is faced

H=Hypotenuse The Slanting side which is the largest of the 3 sides, and always against the 90* angle.

A= AdjacentThe Side next to the opposite and always  countered against the Hypotenuse.

As for example in Sine, we use Opposite/Hypotenuse to get the desired angle.

There’s also the Trigonometry ratios, which consists of the SOH CAH TOA rule aswell,

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for ex: we want to find the height, which in this case is the opposite, because it’s across from the working angle=40*

So we would use Tangent, since we want to use the Opposite/Adjacent.

Tan40*=Opposite/75ft

Opposite=tan40*75ft

Opposite=62.9ft

Working Backwards

We can also work backwards from this stance, if we have tanX=62.9/75

tanX=62.9/75

tanX=0.84

X=0.84*(Tan-) Tan negative is what we click on the calculator to find the angle.

X=40*

We can also find the Hypotenuse, whether it’s using Pythagoras or simply continuing to use Trigonometry

Simply Shifting to towards using Cosine which implements the Adjacent/Hypotenuse can give find us any of the two. The most important key is to fill use where the application is best fitted.

So we would use Cos40*=75/H

Cos40*=75/H

H=75/(Cos40*)           Always figure out the cos of 40 first

H=75/0.77

H=97.4ft

Conclusion: Using SOH CAH TOA in the correct application will give you the right answer. But it must be the right application.

Sine= Opposite/Hypotenuse Cosine=Adjacent/ Hypotenuse  Tangent=Opposite/Adjacent

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