Trigonometric Fundamentals Flashcards
1
Q
Primary Trigonometric Ratios
A
- sin θ = y/r
- cos θ = x/r
- tan θ = y/x = sin θ/cos θ
2
Q
Sides of a triangle
A
- O: Opposite (y)
- A: Adjacent (x)
- H: Hypotenuse (r)
3
Q
Finding the Angle
A
- sin⁻¹ y/r
- cos⁻¹ x/r
- tan⁻¹ y/x
- = θ
4
Q
Reciprocal Trigonometric Ratios
A
- csc θ = 1/sin
- sec θ = 1/cos
- cot θ = 1/tan
5
Q
Negative Angles and Trigonometric Ratios
A
- sin(-θ) = -sin θ
- cos (-θ) = cos θ
- tan (-θ) = - tan θ
6
Q
Special Angle: 45°
A
- x = 1
- y = 1
- r = √2
7
Q
Special Angle: 30°
A
- x = √3
- y = 1
- r = 2
8
Q
Special Angle: 60°
A
- x = 1
- y = √3
- r = 2
9
Q
Special Angle: 0°
A
- x = 1
- y = 0
- r = 1
10
Q
Special Angle: 90°
A
- x = 0
- y = 1
- r = 1
11
Q
Special Angle: 180°
A
- x = -1
- y = 0
- r = 1
12
Q
Properties of QI
A
- Top-right quadrant
- All positive values
13
Q
Properties of QIl
A
- Top-left quadrant
- Positive sin values
14
Q
Properties of QIll
A
- Bottom-left quadrant
- Positive tan values
15
Q
Properties of QIV
A
- Bottom-right quadrant
- Positive cos values
