T HE F UNDAMENTAL T RIGONOMETRIC I DENTITIES Dr. Shildneck Spring 2015.

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Presentation transcript:

T HE F UNDAMENTAL T RIGONOMETRIC I DENTITIES Dr. Shildneck Spring 2015

T HE R ECIPROCAL I DENTITIES

T HE Q UOTIENT I DENTITIES

P YTHAGOREAN I DENTITIES

T HE C O -F UNCTION I DENTITIES In general, anytime you see or, think “co-” function…

T HE E VEN /O DD -F UNCTION I DENTITIES In general, for odd functions, pull the negative out front. for even functions, drop the negative. ODD EVEN

Note: Reciprocal functions have the same sign. POS NEG POS NEG POS NEG

U SING I DENTITIES TO E VALUATE T RIG V ALUES Today we will work with Identities to determine the values of trig functions given certain information. Process 1. Determine which Quadrant the terminal side is in. 2. Write down all 6 trig functions = 3. Fill in what you know. 4. Use the appropriate identities (and Pythagorean Theorem) to determine the remaining trig values.

EX 1.

EX 2.

EX 3

EX 4

EX 5

EX 6

EX 7

EX 8

EX 9

Rewrite the expression so that it is NOT in fractional form: EX 10

If, EX 11 find the value of

ASSIGNMENT Page #1-54 (m3), omit 48