# Trigonometry Formulas For Class 10

Trigonometry is the study of relationships between angles, lengths, and heights of triangles. It includes ratios, function, identities, formulas to solve problems based on it, especially for right-angled triangles. Applications of trigonometry are also found in engineering, astronomy, Physics and architectural design. This chapter is very important as it comprises many topics like Linear Algebra, Calculus and Statistics.

It is a completely new and tricky chapter where one needs to learn all the formula and apply them accordingly. Trigonometry Class 10 formulas are tabulated below.

Applying Pythagoras theorem for the given right-angled triangle, we have:
(Perpendicular)2+(Base)2=(Hypotenuese)2
⇒(P)2+(B)2=(H)2
The Trigonometric properties are given below:
 S.no Property Mathematical value 1 sin A Perpendicular/Hypotenuse 2 cos A Base/Hypotenuse 3 tan A Perpendicular/Base 4 cot A Base/Perpendicular 5 cosec A Hypotenuse/Perpendicular 6 sec A Hypotenuse/Base
Relation Between Trigonometric Identities:
 S.no Identity Relation 1 tan A sin A/cos A 2 cot A cos A/sin A 3 cosec A 1/sin A 4 sec A 1/cos A
Trigonometric Identities:

1. sin2A + cos2A = 1
2. tan2A + 1 = sec2A
3. cot2A + 1 = cosec2A

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