Odds and Even functions Evaluating trig functions Use a calculator to evaluate trig functions.

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Odds and Even functions Evaluating trig functions Use a calculator to evaluate trig functions

Transcript of Odds and Even functions Evaluating trig functions Use a calculator to evaluate trig functions.

Page 1: Odds and Even functions Evaluating trig functions Use a calculator to evaluate trig functions.

Odds and Even functions

Evaluating trig functions

Use a calculator to evaluate trig functions

Page 2: Odds and Even functions Evaluating trig functions Use a calculator to evaluate trig functions.

Odds and Even Functions Odd Functions

sin (-) = -sin tan (- ) = -tan csc (- ) = -csc cot(- ) = -cot

• Even Functionscos (-) = cos sec (- ) = sec

Page 3: Odds and Even functions Evaluating trig functions Use a calculator to evaluate trig functions.

Example If sin (-) = 3/5

Find sin ()

csc ()

• If cos () = -3/4

Find cos (-)

sec (-)

• If cos () = 4/5

Find cos (-)

cos ( + )

Page 4: Odds and Even functions Evaluating trig functions Use a calculator to evaluate trig functions.

The Six Trigonometric Functions

Hypotenuse

Adjacent

Opposite

A

B

Page 5: Odds and Even functions Evaluating trig functions Use a calculator to evaluate trig functions.

The Six Trigonometric Functions

HypotenuseAdjacent

OppositeA

B

Page 6: Odds and Even functions Evaluating trig functions Use a calculator to evaluate trig functions.

6 Trigonometric Functionssin = opp cos = adj tan = opp

hyp hyp adj

AKA SOHCAHTOA

csc = hyp sec = hyp cot = adj

opp adj opp

And their reciprocals!!!

Page 7: Odds and Even functions Evaluating trig functions Use a calculator to evaluate trig functions.

Example

Find the values of the six trigonometric functions of .

13 5

Page 8: Odds and Even functions Evaluating trig functions Use a calculator to evaluate trig functions.

Example

Find the values of the six trigonometric functions of .

4

4

Page 9: Odds and Even functions Evaluating trig functions Use a calculator to evaluate trig functions.

Example

Find the values of the six trigonometric functions of .

cos = 5/7

Page 10: Odds and Even functions Evaluating trig functions Use a calculator to evaluate trig functions.

Example

Find the values of the six trigonometric functions of .

cot = 5

Page 11: Odds and Even functions Evaluating trig functions Use a calculator to evaluate trig functions.

Example

Find the values of the six trigonometric functions of .

sec = 6

Page 12: Odds and Even functions Evaluating trig functions Use a calculator to evaluate trig functions.

Example

Find the values of the six trigonometric functions of .

csc =17/4

Page 13: Odds and Even functions Evaluating trig functions Use a calculator to evaluate trig functions.

Homework

PAGE 103 (31, 33, 35) Page 113 (1-21 odd)