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TRIG – THE EASY WAY. Trig functions. To remember the trigonometry functions, use the memory aid: Soh Cah Toa The first letter of each aid represents the function. The last two letters indicates the ratio of sides needed to calculate the function.

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Presentation Transcript
trig functions
Trig functions

To remember the trigonometry functions, use the memory aid:

Soh Cah Toa

The first letter of each aid represents the function. The last two letters indicates the ratio of sides needed to calculate the function.

Soh --> Sine = opposite/hypotenuse

Cah --> Cosine = adjacent/hypotenuse

Toa --> Tangent = opposite/adjacent

We can use trigonometry functions to determine:

• one acute angle if you know two sides

• one of the sides if you know an acute angle and one side

hypotenuse opp leg adj leg
HYPOTENUSE, OPP. LEG,& ADJ. LEG

HYPOTENUSE

OPP. LEG

ADJ. LEG

slide5
Determine what trig

function to use

Set up the equation that solves the situation

Solve the equation and round answer appropriately

THE PROCESS

21

?

42°

determining the function
DETERMINING THE FUNCTION

hypotenuse

21

?

Opp

42°

Opposite / hypotenuse >>>>>>>>> SINE

solution
solution
  • Sin 42° = x / 21
  • .6691  = x / 21
  • X = (.6691) (21)
  • X= 14.0511
  • X= 14.1
determine the function
DETERMINE THE FUNCTION.

OPPOSITE

8

?

15

ADJACENT

OPPOSITE / ADJACENT >>>>>>>>> TANGENT

process and solution
Determine the function ----> Tangent

Write the equation ----------> Tan D = 8 / 15

Solve the equation ---------> Tan D = .5333

Note : you must use the inverse of tangent to find the angle:

tan-1 or arctan on your calculator.

‹D = tan-1(0.5333)

‹D = 28.072487

‹D = 28º

PROCESS AND SOLUTION