6.3 TRIGONOMETRI

C IDENTITIES

sintan

cos

coscot

sin

QUOTIENT IDENTITIES

RECIPROCAL IDENTITIES

1csc

sin

1sec

cos

1cot

tan

PYTHAGOREAN IDENTITIES

2 2sin cos 1

2 2tan 1 sec

2 21 cot csc

EVEN-ODD IDENTITIES

sin sin

cos cos

tan tan

csc csc

sec sec

cot cot

REWRITE IN TERMS OF SINE AND COSINE

cos csc sin sec

1cos

sin

cos

sin

1sin

cos

sin

cos

MULTIPLYcos 1 sin

by 1 sin 1 sin

1 sincos

1 sin 1 sin

2

cos 1 sin

1 sin

2

cos 1 sin

cos

1 sin

cos

REWRITE OVER A COMMON DENOMINATOR

1 1

1 sin 1 sin

1 sin 1 sin1 1

1 sin 1 sin 1 sin 1 sin

2 2

1 sin 1 sin

1 sin 1 sin

2

2

1 sin

2

2

cos

MULTIPLY AND SIMPLIFY 2cot 1 cot 1 csc

cot

2 2cot 2cot 1 csc

cot

2 2cot 2cot 1 1 cot

cot

2 2cot 2cot 1 1 cot

cot

2cot

cot

2

FACTOR AND SIMPLIFY2

2

5cos 6cos 1

cos 2cos 1

5cos 1 cos 1

cos 1 cos 1

5cos 1

cos 1

5cos 1

cos 1

ASSIGNMENT

p. 471 # 1, 2, 4 - 6, 9 - 18