The Legend of Chief Sohcahtoa

A young brave of the Lumbee Tribe, frustrated by his inability to understand the geometric constructions of

his tribe's battle dress…

…kicked out in anger against a stone and crushed his big toe.

Fortunately, the young brave learned from this experience, and began to use study and concentration to solve his problems rather than violence.

This was especially effective in his study of math,

And he went on to

become the wisest man of his

tribe.

According to legend the brave’s father,

the tribal chief, dies.

Following tradition, the wise brave was to take his father’s place.

As custom dictates, the tribe’s Shaman gave the new Chief a name that reflected his special nature

A name that reminded them of his great discoveries and of the event which changed his life.

A name that tookinto account that he was troubled throughout his life by the problematic foot,

And that he was constantly at the edge of the river, soaking his feet in the cooling waters.

The high priest declared that the wise brave shall be called

Chief SohCahToa.

The high priest declared that the wise brave shall be called

Chief SohCahToa studied many aspects of trigonometry

And even today we remember many trigonometric functions by his name.

Trigonometric Functions

SINE

COSINE

TANGENT

Trigonometric Functions

SINE

COSINE

TANGENT

SINE

Prounounced “sign”

Prounounced “co-sign”

COSINE

Prounounced “tan-gen

t ”

TANGENT

Prounounced “theta”

Greek Letter

Represents an unknown angle

op

posite

SinOpp

Hyp

CosAdj

Hyp

TanOpp

Adj

hypo

tenu

se

adjacent

SOHCAHTOA SinOppHyp

CosAdjHyp

TanOppAdj

6

8

10

SOHCAHTOA

10

8

10

6

6

8

Opp

Hyp

CosAdj

Hyp

TanOpp

Adj

4

5

3

5

4

3

Find the sine, the cosine, and the tangent of angle A.

Give a fraction and decimal answer (round to 4 places).

hypo

oppAsin

8.10

9 8333.

hypo

adjAcos

8.10

6 5555.

adj

oppAtan

6

9 5.1

9

6

10.8

A

Find the values of the three trigonometric functions of .

4

3

? Pythagorean Theorem:(3)² + (4)² =

c² 5 = c

opp

hyp 4

5

adj

hyp

3

5 opp

adj 4

3

sin cos tan

5

Find the sine, the cosine, and the tangent of angle A

A

24.5

23.1

8.2

hypo

oppAsin

5.24

2.8 3347.

hypo

adjAcos

5.24

1.23 9429.

adj

oppAtan

1.23

2.8 3550.

B Give a fraction and decimal answer (round to 4 decimal places).

So be sure to remember The Legend of Chief

SohCahToa.