Trigonometry Formulas For Class 10

Trigonometry is the study of relationships that deal with angles, lengths, and heights of 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.

Trigonometry is introduced in CBSE class 10. 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.

Trigonometric Formulas:

Right Angled Triangle

Applying Pythagoras theorem for the given right-angled triangle, we have:

\((Perpendicular)^{2} + (Base)^{2} = (Hypotenuese)^{2}\)

\(\Rightarrow (P)^{2} + (B)^{2} = (H)^{2}\)

The Trigonometric properties are given below:

S.no Property Mathematical value
1 \(\sin A\) \(\frac{P}{H}\)
2 \(\cos A\) \(\frac{B}{H}\)
3 \(\tan A\) \(\frac{P}{B}\)
4 \(\cot A\) \(\frac{B}{P}\)
5 \(cosec A\) \(\frac{H}{P}\)
6 \(\sec A \) \(\frac{H}{B}\)

Relation Between Trigonometric Identities:

S.no Identity Relation
1 \(\tan A\) \(\frac{\sin A}{\cos A}\)
\(\cot A\) \(\frac{\cos A}{\sin A}\)
3 \(cosec A\) \(\frac{1}{\sin A}\)
4 \(\sec A\) \(\frac{1}{\cos A}\)

Trigonometric Identities:

  1. \(\sin^{2}A + \cos^{2}A = 1\)
  2. \(\tan^{2}A + 1 = \sec^{2}A\)
  3. \(\cot^{2}A + 1 = cosec^{2}A\)

These were


Practise This Question

Water in a canal, 6 m wide and 1.5 m deep, is flowing with a speed of 10 km/h. How much area will it irrigate(in m2 ) in 30 minutes, if 8 cm of standing water is needed?