What is Trigonometry Ratio?
Trigonometric Ratios are the ratio of sides of a right triangle for a given value of the angle denoted as theta(θ). There are six trigonometric ratios namely,
- sine
- cosine
- tangent
- cotangent
- secant
- cosecant
The angle θ is defined as the angle between the base and the hypotenuse of the right triangle.
Trigonometric Ratio Formulas Class 10
Trigonometric Ratio Formulas establish the relation between Trigonometric Ratios and the sides of a right triangle. The T-Ratios Formulas Class 10 are listed below:
- sin θ = Perpendicular/Hypotenuse
- cos θ = Base/Hypotenuse
- tan θ = Perpendicular/Base
- cosec θ = Hypotenuse/Perpendicular
- sec θ = Hypotenuse/Base
- cot θ = Base/Perpendicular
Trigonometric Ratio Table Class 10
Trigonometric Ratio Table contains the value of all the six trigonometric ratios at some standard angles 0°, 30°, 45°, 60° and 90°.
|
θ |
0° |
30° |
45° |
60° |
90° |
|---|---|---|---|---|---|
|
sin θ |
0 |
1/2 |
1/√2 |
√3/2 |
1 |
|
cos θ |
1 |
√3/2 |
1/√2 |
1/2 |
0 |
|
tan θ |
0 |
1/√3 |
1 |
√3 |
Not defined |
|
cosec θ |
Not defined |
2 |
√2 |
2/√3 |
1 |
|
sec θ |
1 |
2/√3 |
√2 |
2 |
Not defined |
|
cot θ |
Not defined |
√3 |
1 |
1/√3 |
0 |
Trigonometry Formulas Class 10
Trigonometry Formula in Class 10 is the list of all formulas used in Trigonometry useful for class 10 students in their exams. Trigonometry is the branch of mathematics that establishes the relation of the angle of a right triangle with the ratio of sides.
Trigono means triangle and metron means measure. There are in total six trigonometric ratios namely, sine, cosine, tangent, cotangent, secant, and cosecant. The Trigonometric Formulas establish relations between these Trigonometric Ratios.
In this article, we will learn Trigonometric Formulas essential for Class 10 along with the Trigonometric Ratio Table.
Table of Content
- What is Trigonometry Ratio?
- Trigonometric Ratio Formulas Class 10
- All Trigonometry Formulas Class 10
- Trigonometric Reciprocal Identities
- Trigonometric Identities
- Complementary Angle Formulas
- Supplementary Angle Formulas
- Even and Odd Angle Formulas
- Double Angle Formulas
- Solved Examples on Trigonometry Formulas Class 10
- Practice Questions on Trigonometric Formulas Class 10
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