Trigonometry SOH CAH TOA. Say it. Remember it. SOH CAH TOA SOH CAH TOA SOH CAH TOA SOH CAH TOA SOH CAH TOA SOH CAH TOA SOH CAH TOA SOH CAH TOA SOH CAH.

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Presentation transcript:

Trigonometry SOH CAH TOA

Say it. Remember it. SOH CAH TOA SOH CAH TOA SOH CAH TOA SOH CAH TOA SOH CAH TOA SOH CAH TOA SOH CAH TOA SOH CAH TOA SOH CAH TOA SOH CAH TOA SOH CAH TOA SOH CAH TOA SOH CAH TOA SOH CAH TOA SOH CAH TOA SOH CAH TOA SOH CAH TOA SOH CAH TOA SOH CAH TOA SOH CAH TOA SOH CAH TOA SOH CAH TOA SOH CAH TOA SOH CAH TOA SOH CAH TOA SOH CAH TOA SOH CAH TOA SOH CAH TOA SOH CAH TOA SOH CAH TOA SOH CAH TOA SOH CAH TOA SOH CAH TOA SOH CAH TOA SOH CAH TOA SOH CAH TOA SOH CAH TOA SOH CAH TOA SOH CAH TOA SOH CAH TOA SOH CAH TOA SOH CAH TOA SOH CAH TOA SOH CAH TOA SOH CAH TOA SOH CAH TOA SOH CAH TOA SOH CAH TOA SOH CAH TOA SOH CAH TOA SOH CAH TOA SOH CAH TOA SOH CAH TOA SOH CAH TOA SOH CAH TOA SOH CAH TOA SOH CAH TOA SOH CAH TOA SOH CAH TOA SOH CAH TOA SOH CAH TOA SOH CAH TOA SOH CAH TOA SOH CAH TOA SOH CAH TOA SOH CAH TOA SOH CAH TOA SOH CAH TOA SOH CAH TOA SOH CAH TOA SOH CAH TOA SOH CAH TOA SOH CAH TOA SOH CAH TOA SOH CAH TOA SOH CAH TOA SOH CAH TOA SOH CAH TOA SOH CAH TOA SOH CAH TOA SOH CAH TOA SOH CAH TOA SOH CAH TOA SOH CAH TOA SOH CAH TOA SOH CAH TOA SOH CAH TOA SOH CAH TOA SOH CAH TOA SOH CAH TOA SOH CAH TOA SOH CAH TOA SOH CAH TOA SOH CAH TOA SOH CAH TOA SOH CAH TOA SOH CAH TOA SOH CAH TOA SOH CAH TOA SOH CAH TOA SOH CAH TOA SOH CAH TOA SOH CAH TOA SOH CAH TOA SOH CAH TOA SOH CAH TOA SOH CAH TOA SOH CAH TOA SOH CAH TOA SOH CAH TOA SOH CAH TOA SOH CAH TOA SOH CAH TOA SOH CAH TOA SOH CAH TOA SOH CAH TOA SOH CAH TOA SOH CAH TOA SOH CAH TOA SOH CAH TOA SOH CAH TOA SOH CAH TOA SOH CAH TOA SOH CAH TOA SOH CAH TOA SOH CAH TOA SOH CAH TOA SOH CAH TOA SOH CAH TOA SOH CAH TOA SOH CAH TOA SOH CAH TOA SOH CAH TOA SOH CAH TOA SOH CAH TOA SOH CAH TOA SOH CAH TOA SOH CAH TOA SOH CAH TOA SOH CAH TOA SOH CAH TOA SOH CAH TOA SOH CAH TOA SOH CAH TOA SOH CAH TOA SOH CAH TOA SOH CAH TOA SOH CAH TOA SOH CAH TOA SOH CAH TOA SOH CAH TOA

Using Trigonometry affectively General Han Hsin Han Dynasty (206 BC)

General Han Hsin

Enemy Palace

Well Fortified Enemy Palace*

Angry Well Fortified Enemy Palace**

Engineer

Kite ?

? ?

? ? ?

? ? ? ?

? ? ? ? ?

? ? ? ? ? ?

Right Triangle ? ? ? ? ? ? ? ?

Hypotenuse ? ? ? ? ? ? ? ?? H

THETA ? ? ? ? ? ? ? ?? ? H

Adjacent Side ? ? ? ? ? ? ? ?? ? H ? A

Trig (CAH) ? ? ? ? ? ? ? ?? ? H ? A

Solving for A ? ? ? ? ? ? ? ?? ? H ? A ? ? ?

Diggers ? ? ? ? ? ? ? ?? ? H ? A ??? A. ?? ? ?

Tunnel ? ? ? ? ? ? ? ?? ? H ? A ??? A! ?? ? ?

Tunnel ? ? ? ? ? ? ? ?? ? H ? A ??? ?? ? ?

? ? ? ? ? ? ? ?? ? H ? A ??? ?? ? ?

? ? ? ? ? ? ? ?? ? H ? A ??? ?? ? ?

Army ? ? ? ? ? ? ? ?? ? H ? A ? ? ? ?? ? ? ? ?? ? ?

? ? ? ? ? ? ? ?? ? H ? A ? ? ? ?? ? ? ? ?? ? ?

? ? ? ? ? ? ? ?? ? H ? A ? ? ? ?? ? ? ? ?? ? ?

H A

H A

H A

Murder H A

H A

H A

H A

Victory H A

H A

H A

General Han Hsin’s Palace

SOH CAH TOA SOH CAH TOA Hypotenuse Adjacent Opposite

SOH CAH TOA SOH CAH TOA Hypotenuse Adjacent Opposite

Examples Find all missing sides and angles of the following triangle. 35˚ 77 in

Examples Find all missing sides and angles of the following triangle. 59˚ 66 mi

Examples You want to break into a museum. You forgot your mirror. All you have is a protractor, some measuring tape, and an Altotrak. How do you figure out how much rope you need? 25 ft. 47˚ Opp.

Examples You want to break into a museum. You forgot your mirror. All you have is a protractor, some measuring tape, and an Altotrak. How do you figure out how much rope you need? 25 ft. Opp. 47˚

Examples You want to break into a museum. You forgot your mirror. All you have is a protractor, some measuring tape, and an Altotrak. How do you figure out how much rope you need? A Opp.

Remember SOH CAH TOA only works for right triangles. Your calculator must be in degree mode if you are entering degrees for theta.

Test out SOH CAH TOA Using a protractor and ruler create 3 different right triangles, which all have the same angle theta (pick a whole number).

Test out SOH CAH TOA Using a protractor and ruler create 3 different right triangles which all have the same angle theta.

Test out SOH CAH TOA Create three different right triangles all with the same angle theta (pick a whole number). Measure all sides. Find the values of: Average each column. Find the sin, cos, and tan of theta.