Trigonometric Identities Flashcards by Erin boeger

Q

sin ø

A

Opposite/ Hypotenuse

the “y” coordinate

How well did you know this?

1

Not at all

2

3

4

5

Perfectly

Q

cos ø

A

Adjacant / Hypotenuse

the “x” coordinate

How well did you know this?

1

Not at all

2

3

4

5

Perfectly

Q

tan ø

A

Opposite / Adjacant

sin ø / cos ø

y / x

How well did you know this?

1

Not at all

2

3

4

5

Perfectly

Q

csc ø

A

Hypotenuse / Opposite

1 / sin ø

1 / y

How well did you know this?

1

Not at all

2

3

4

5

Perfectly

Q

sec ø

A

Hypotenuse / Adjacent

1 / cos ø

1 / x

How well did you know this?

1

Not at all

2

3

4

5

Perfectly

Q

cot ø

A

Adjacent / Opposite

cosø / sinø
x / y

How well did you know this?

1

Not at all

2

3

4

5

Perfectly

Q

sin²ø + cos²ø =

A

1

How well did you know this?

1

Not at all

2

3

4

5

Perfectly

Q

tan²ø +1 =

A

sec²ø

How well did you know this?

1

Not at all

2

3

4

5

Perfectly

Q

cot²ø + 1 =

A

csc²ø

How well did you know this?

1

Not at all

2

3

4

5

Perfectly

Q

sin(2ø)

A

2sin(ø)cos(ø)

How well did you know this?

1

Not at all

2

3

4

5

Perfectly

Q

cos(2ø)

A

cos²ø - sin²ø

2cos²ø - 1

1 - 2sin²ø

How well did you know this?

1

Not at all

2

3

4

5

Perfectly

Q

tan(2ø)

A

2tan ø / 1 - tan²ø

How well did you know this?

1

Not at all

2

3

4

5

Perfectly

Q

Law of Sines

A

sina / A = sinb / B = sinc / C

How well did you know this?

1

Not at all

2

3

4

5

Perfectly

Q

Law of Cosines

A

a² = b² + c² - 2bc cos(a)

How well did you know this?

1

Not at all

2

3

4

5

Perfectly

Q

Derivative of sin ø

A

f(ø) = sin ø

f^’(ø) = cos ø

How well did you know this?

1

Not at all

2

3

4

5

Perfectly

Q

Derivative of cos ø

Study These Flashcards

A

f(ø) = cos ø

f^’(ø) = -sin ø

Q

Derivative of tan ø

Study These Flashcards

A

f(ø) = tan ø

f^’(ø) = sec²(ø)

Q

Derivative of cot ø

Study These Flashcards

A

f(ø) = cot ø

f^’(ø) = -csc²(ø)

Q

Derivative of sec ø

Study These Flashcards

A

f(ø) = sec ø

f^’(ø) = sec(ø)tan(ø)

Q

Derivative of csc ø

Study These Flashcards

A

f(ø) = csc ø

f^’(ø) = -csc(ø)cot(ø)

Q

What’s the domain of sin ø

Study These Flashcards

A

domain of sin ø can be any angle

Q

What is the period of sin ø

Study These Flashcards

A

The period of sin(wø) -> T = 2π / w

Q

What is the range of sin ø

Study These Flashcards

A

-1 < sin ø < 1

Q

What is the domain of cos ø

Study These Flashcards

A

cos ø can be any angle

What is the period of cos ø

cos(*w*ø) -\> T = 2*π* / *w*

What is the range of cos ø

-1 _\<_ cos ø _\<_ 1

What is the domain of tan ø

tan ø, ø != (*n* + 1/2)*π*, *n* = 0,⁺1,⁺2..

What is the range of tan ø

-(*inf*) _\<_ tan ø _\<_ (*inf*)

What is the period of tan ø

tan(*w*ø) -\> T = *π / w*

What is the domain of csc ø

domain of csc ø, ø != *nπ*, *n* = 0,⁺1,⁺2,...

What is the range of csc ø

csc ø _\>_ 1 and csc ø _\<_ -1

What is the period of csc ø

period csc(*w*ø) -\> T= 2*π* / *w*

What is the domain of sec ø

domain of sec ø, ø != (*n*+1/2)*π*, *n* = 0,⁺1,⁺2,...

What is the range of sec ø

sec ø _\>_ 1 and sec ø _\<_ -1

What is the period of sec ø

period of sec(*w*ø) -\> T = 2*π / w*

What is the domain of cot

domain of cot ø, ø != *nπ*, *n* = ⁺1,⁺2,...

What is the range of cot ø

-(*inf*) _\<_ cot ø _\<_ (*inf*)

What is the period of cot ø

period of cot(*w*ø) -\> T = *π* / *w*