Also check ,
Percentage Formula , Steps to calculate percentage
Geometry Definition, Formulas, and Shapes: What Is It?
Table of content
- Trigonometry Formulas 2022
- Important Identities of Trigonometric Ratios
- Ratios in Trigonometry
- Trigonometric ratio relationships
- Trigonometric ratio values for each quadrant
- Different Trigonometric Ratio Specific Angle Values
- Relationship between the squares of several types of trigonometric ratios in trigonometry
- Important Idea to Address a Particular Type of Question
- Tangent Trigonometry Formulas
- Maximum & Minimum Value in Trigonometry
Highest & Lowest Value
Trigonometry Formulas 2022
Important Identities of Trigonometric Ratios
To learn the basics of trigonometry, you must be aware of all significant trigonometric ratios and their identities.
Ratios in Trigonometry
Trigonometric ratio relationships
Trigonometric ratio values for each quadrant
Different Trigonometric Ratio Specific Angle Values
Relationship between the squares of several types of trigonometric ratios in trigonometry
Important Idea to Address a Particular Type of Question
If A + B = 90°
Results that are true always :
(i) sin A. sec B = 1 or sin A = cos B
(ii) cos A. cosec B = 1 or sec A = cosec B
(iii) tan A. tan B = 1 or tan A = cot B
(iv) cot A. cot B = 1
(v) sin²A + sin² B = 1
(vi) cos² A + cos² B = 1
Formula for the Sum and Difference of Two Angles in Trigonometry, an Important Formula
(1) sin (A+B) =sinA. cosB + cosA sinB
(2) sin(A – B) =sinA. cosB – cosA sinB
(3) cos(A+B) =cosA. cosB – sinA sinB
(4) cos(A-B) = cosA. cosB+sinA sinB
(5) 2 sinA.cosB = sin(A+B)+sin (A-B)
(6) 2 cosA. sinB = sin(A+B)-sin (A-B)
(7) 2 sinA. sinB = cos(A-B)-cos(A+B)
(8) 2 cosA.cosB = cos(A+B)+cos(A-B)
(9) sin²A-sin²B = sin(A+B). sin(A-B)
(10) cos²A-cos²B = cos(A+B).cos (A-B)
Tangent Trigonometry Formulas
List of trigonometric formulas
If A + B + C = 90°, then A + B + C must also equal A cot B cot C.
If sin(a) + cosec(a) = 2,
Then, 
Maximum & Minimum Value in Trigonometry
Highest & Lowest Value
The two extremes are Minimum and Maximum
Minimum Maximum
- sin θ, cos θ [odd power] –1 +1
- sin θ, cos θ [even power] 0 +1
- tan θ, cot θ [odd power] –∞ +∞
- tan θ, cot θ [even power] 0 +∞
- sec θ, cosec θ [odd power] –∞ +∞
- sec θ, cosec θ [even power] +1 +∞
What are the 4 concepts of trigonometry?
Their names and abbreviations are sine (sin), cosine (cos), tangent (tan), cotangent (cot), secant (sec), and cosecant (csc).Who is the father of trigonometry?
What are the symbols in trigonometry?
| Symbol Name | Explanation | Example |
|---|---|---|
| crd θ | Chord function (Length of chord subtended by angle in unit circle) | crd θ ≥ sin |
| | Cosine function | θ + cos 2 |
| tan | Tangent function | |
| | Cosecant function | θ = 1 sin |
Who invented trigonometry in India?
What is the Trigonometric ratio values for each quadrant ?
sin θ +ve +ve -ve -ve
cos θ +ve -ve -ve +ve
tan θ +ve -ve +ve -ve
cosec θ +ve +ve -ve -ve
sec θ +ve -ve -ve +ve
cot θ +ve -ve +ve -ve
