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Trig SOH CAH TOA A C B

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WHICH HOUSE WOULD YOU RATHER LIVE IN? House number 1 OR House number 2?

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House number 1

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House number 2

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Trigonometry Trig means angle measurement Trig deals with the relation between sides and angles Trig helps you find the length of a side or the measure of an angle

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What might you use trig for? Is your ladder long enough to reach the gutters? What is the shortest distance between two points? What is the height and width of a TV screen? Where will your furniture fit in a room? What is the height of a building or a tree? How can you build a staircase? To build a house correctly

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Trigonometric Ratios Sine Sin = _opposite_ hypotenuse Cosine Cos = _adjacent_ hypotenuse Tangent Tan = opposite adjacent

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Trig Memory Clue SOH CAH TOA S ine C osine T angent O pposite A djacent O pposite H ypotenuse H ypotenuse A djacent

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SIN, COS, and TAN Find sine, cosine, and tangent of acute angles only. A BC Sin = Cos = Tan = Sin = Cos = Tan =

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Sin Cos Tan Sin Cos Tan T L G F B R

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Y O U A R E X Y Z Sin Cos Tan Sin Cos Tan Sin Cos Tan …for the red acute angle only.

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PRACTICE SIN, COS, and TAN A H N C S B Sin Cos Tan Sin Cos Tan LT A Sin Cos Tan …for both acute angles.

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HA M R IB Sin Cos Tan Sin Cos Tan Sin Cos Tan Sin Cos Tan A M A M A M R R R B B B

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N D Y J L P C W V Sin Cos Tan Sin Cos Tan Sin Cos Tan

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P I Y T E Q A D G Sin Cos Tan Sin Cos Tan Sin Cos Tan

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G I F E C T S Z O Sin Cos Tan Sin Cos Tan Sin Cos Tan

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S F H K M B C W I Sin Cos Tan Sin Cos Tan Sin Cos Tan

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L O M U B T FE D Sin Cos Tan Sin Cos Tan Sin Cos Tan

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Q Z A E D C T G B Sin Cos Tan Sin Cos Tan Sin Cos Tan

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Sin Cos Tan Sin Cos Tan Sin Cos Tan JI B C A R L O G

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What is the hypotenuse? It is always across from the right angle. It is always the longest side. hypotenuse

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Hypotenuse A EG E L A A B CA G L

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Practice marking the hypotenuse A B G I H K LD E J C F

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Practice marking the hypotenuse A B C A B CA A B B C C

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Practice marking the hypotenuse A B C C B A A B 11. C A B C12.12.

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What is the opposite side? It is the side across from the angle youre working with. A CB The side opposite is

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Opposite Side N O P K I M S DM J D V Side opposite Side opposite Side opposite N P K I S M V D

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Practice marking opposite side A T C A BC A B D G DO

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Practice marking opposite side D L E Y G O C W R P D I

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Practice marking the opposite side A D F G M U G ZI Z D A

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What is the adjacent side? The adjacent side runs alongside the angle (but it wont be the hypotenuse). A B C The side adjacent to is

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Practice marking the adjacent side A B C A R C A O P B G M Side adjacent to **
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Practice marking the adjacent side F IR A P L E D B D N U

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Practice marking the adjacent side O G U G F D S A G N W U

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STRAW ACTIVITY You will be given 3 straws and a piece of poster board. Place the straws on the poster board in the shape of a right triangle Label the angles with your initials Label the hypotenuse I will come around and give you one of the angles: You will label the opposite side and the adjacent side

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STRAW ACTIVITY EXAMPLE L A T hypotenuse Using angle L, label the opposite and adjacent sides opposite adjacent

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Practice marking different sides 1. H T E 2. A D Y3.S O I 4. V R E

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A A A A P M T P N P C P

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9. T O N 10. Y O U 11. S K J 12. M AV

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13. A C E 14. J M A 15.NE W 16. O L D

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Q WE RT Y A SD F G H

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L K J M N B P O I V C X

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