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Details

Mat 142 - Chapter 3
Trig
48
Mathematics
Undergraduate 1
10/05/2013

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Cards

Term
What is the formula for the Area of a Triangle?
Definition
1/2 absinθ
Term
What is the formula for the Area of a Circular Sector?
Definition

A= 1/2r2θ

θ must be in radians

Term
What is the formula for Linear Velocity?
Definition
V = rω
Term
What is the formula for Angular Velocity?
Definition

ω=θ/t

 

Term
What is the formula for finding the Area of Circular Sector?
Definition
A= 1/2r2θ
Term
What is the formula for length of Arc?
Definition

S=θr

or

S=rθ

(I've seen it both ways)

Term
How do you convert rad to degrees?
Definition
Multiply by 180/Π
Term
How do you convert degrees to rad?
Definition
Multiply by Π/180
Term
30° in rad
Definition
Π/6
Term
45° in rad
Definition
Π/4
Term
60° in rad
Definition
Π/3
Term
90° in rad
Definition
Π/2
Term
180° in rad
Definition
Π
Term
270° in rad
Definition
3Π/2
Term
Sin θ
Definition

Opposite

-----------------

Hypotenuse

 

Term
Cos θ
Definition

Adjacent

----------------

Hypotenuse

Term
Tan θ
Definition

Opposite

---------------

Adjacent

Term
Csc θ
Definition

Hypotenuse

--------------

Opposite

Term
Sec θ
Definition

Hypotenuse

-----------------

Adjacent

Term
Cot θ
Definition

Adjacent

------------

Opposite

Term
Csc θ = ?
Definition
1/sin θ
Term
sec θ = ?
Definition
1/cos θ
Term
cot θ = ?
Definition
1/tan θ
Term
tan θ = ?
Definition
sin θ/cos θ
Term
cot θ = ?
Definition
cos θ/sin θ
Term

Pythagorean Identities:

sin2 θ +cosθ = ?

Definition
1
Term

Pythagorean Identities:

Tan2 θ + 1= ? 

Definition
sec2 θ
Term

Pythagorean identities:

1 + cot2 θ = ?

Definition
csc2 θ
Term

Trigonometric ratios:

 

Sin 45 degrees is what?

Definition

√2

2

Term

Trigonometric ratios:


Cos 45 degrees is what?

Definition

√2

——

2

Term

Trigonometric ratios:


Tan 45 degrees = ?

Definition
1
Term

Trigonometric ratios:


Sin 30° = ?

Definition

1

2

Term

Trigonometric ratios:


Cos 30° = ?

Definition

√3

2

Term

Trigonometric ratios:


Tan 30° = ?

Definition

√3

3

Term

Trigonometric ratios:


Sin 60° = ?

Definition

√3

2

Term

Trigonometric ratios:


Cos 60° = ?

Definition

1

2

Term

Trigonometric ratios:


Tan 60° = ?

Definition
√3
Term

Trigonometric ratios:


Sin 90° = ?

Definition
1
Term

Trigonometric ratios:


Cos 90° = ?

Definition
0 (zero)
Term

Trigonometric ratios:


Tan 90° = ?

Definition
--- not possible
Term

Trigonometric ratios:


Sin 180° = ?

Definition
0 (zero)
Term

Trigonometric ratios:


Cos 180° = ?

Definition
-1
Term

Trigonometric ratios:


Tan 180° = ?

Definition
0 (zero)
Term

Trigonometric ratios:


Sin 270° = ?

Definition
-1
Term

Trigonometric ratios:


Cos 270° = ?

Definition
0 (zero)
Term

Trigonometric ratios:


Tan 270° = ?

Definition
----
Term
What is the mneumonic for Trigonometric relationships?
Definition
Some Of Her Children Are Having Trouble Over Algebra.
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