Trigonometry problems are very diverse and learning the below formula helps in solving them better. Multiple formulae could be required to solve the problem, so the practice to make sure you know when to use each of these formulae.
Trigonometry is a branch of Mathematics that majorly deals with triangles. Trigonometry is also known as the study of relationships between lengths and angles of triangles; sometimes, it also deals with circles.
There is an enormous number of uses of trigonometry and formula of trigonometry. For example, the technique of triangulation is used in geography to measure distances between landmarks. In astronomy to measure the distance to nearby stars and also in satellite navigation systems.
All trigonometric formulas are divided into two major systems. The Trigonometric Identities and Trigonometric Ratios.
Trigonometric Identities are true for all values of the variable and the formulas are involved in the trigonometric functions.
Trigonometric Ratio is known for the relationship between measurement of the angles and the length of the side of the right triangle.
Trigonometry problems are very diverse and learning. The below formula helps in solving them better and includes trigonometry table. Multiple formulas could be required to solve the problem, so the practice to make sure you know when to use each of these formulas.
Trigonometry Formulas List For Class 10 to Class 12 |
Trigonometry Formulas For Class 12 |
Trigonometry Formulas For Class 11 |
Trigonometry Formulas For Class 10 |
Basic Trigonometry Formulas
A.Trigonometry Formulas involving Periodicity Identities:
All trigonometric identities are cyclic in nature. They repeat themselves after this periodicity constant. This periodicity constant is different for different trigonometric identity.
tan 45 = tan 225 but this is true for cos 45 and cos 225.
Refer to the above trigonometry table to verify the values.
B.Trigonometry Formulas involving Cofunction Identities – degree
C.Trigonometry Formulas involving Sum/Difference Identities.
sin (x + y) = sin(x) cos(y) + cos(x) sin(y),
cos(x + y) = cos(x) cos(y) – sin(x) sin(y),
sin(x – y) = sin(x) cos(y) – cos(x) sin(y),
cos(x – y) = cos(x) cos(y) + sin(x) sin(y),
D.Trigonometry Formulas involving Double Angle Identities
sin(2x) = 2 sin(x) cos(x),
cos(2x) = cos2(x) – sin2(x),
cos(2x) = 2 cos2(x) – 1,
cos(2x) = 1 – 2 sin2(x),
tan(2x) = [2 tan(x)]/[1-tan2(x)],
E.Trigonometry Formulas involving Half Angle Identities
F.Trigonometry Formulas involving Product identities
G.Trigonometry Formulas involving Sum to Product Identities
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