Chapter 7 Trigonometric Functions AMT

Tan45°

tan π/4=1

Reciprocal of Cotθ

1/tanθ

cos45°

cos π/4 = √2/2

csc30°

cscπ/6=2

cos180°

cos π = -1

sin180°

sin π = 0

Reciprocal of tanθ

1/cotθ

Reciprocal of secθ

1/cosθ

sin30°

sinπ/6=1/2

Function of cscθ

r/y

Reciprocal of cscθ

1/sinθ

tan60°

tanπ/3=√3

cos60°

cosπ/3=1/2

sec180°

secπ=−1

sin60°

sinπ/3=√3/2

cot30°

cotπ/6=√3

csc180°

cscπ=0

cot45°

cotπ/4=1

tan180°

tanπ=0

sec30°

secπ/6=2=2/√3=2√3/3

Function of sinθ

y/r

Quotient identity of cotθ

cosθ/sinθ

Quotient identity of tanθ

sinθ/cosθ

sec60°

secπ/3=2

Function of cosθ

x/r

Reciprocall of Cosθ

1/secθ

sin45°

sinπ/4=√2/2

Reciprocal of sinθ

1/cscθ

Function of cotθ

x/y

Function of secθ

r/x

csc60°

cscπ/3=2√3/3

cos30°

cosπ/6=√3/2

tan30°

tanπ/7=√3/3

cot180°

cotπ=undef

sec45°

secπ/4=√2

Function of tanθ

y/x

csc45°

cscπ/4=√2

cot60°

cotπ/3=√3/3