Trigonometry formulas Detailed list
Trigonometry formulas:- Trigonometry is a branch of mathematics that deal with angles, lengths and heights of triangles and relations between different parts of circles and other geometrical figures.
Maths Formulas — Trigonometric Ratios and identities are very useful and learning the below formulae help in solving the problems better. Trigonometry formulas are essential for solving questions in Trigonometry Ratios and Identities in Competitive Exams.
Trigonometric Identities are equalities that involve trigonometric functions and are true for every value of the occurring variables where both sides of the equality are defined. Geometrically, these are identities involving certain functions of one or more angles.
Trigonometric Ratio relationship between the measurement of the angles and the length of the side of the right triangle. These formulas relate lengths and areas of particular circles or triangles. On the next page you’ll find identities. The identities don’t refer to particular geometric figures but hold for all angles.
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Trigonometry Formulas List
When we learn about trigonometric formulas, we consider it for right-angled triangles only. In a right-angled triangle, we have 3 sides namely — Hypotenuse, Opposite side (Perpendicular), and Adjacent side (Height). The longest side is known as the hypotenuse, the side opposite to the angle is perpendicular and the side where both hypotenuse and opposite side rests is the adjacent side.
Here is the list of formulas for trigonometry.
- Basic Formulas
- Reciprocal Identities
- Trigonometry Table
- Periodic Identities
- Co-function Identities
- Sum and Difference Identities
- Double Angle Identities
- Triple Angle Identities
- Half Angle Identities
- Product Identities
- Sum to Product Identities
- Inverse Trigonometry Formulas
Formulas for arcs and sectors of circles
You can easily find both the length of an arc and the area of a sector for an angle θ in a circle of radius r.
Length of an arc. The length of the arc is just the radius r times the angle θ where the angle is measured in radians. To convert from degrees to radians, multiply the number of degrees by π/180.
Arc = rθ.
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