Trigonometry
Trigonometry is the study of relationships between the sides and angles of a triangle.
Trigonometric Ratios
Trigonometric ratios of the angle A in the right angle triangle ABC is defined as follows:
Sine of angle A = Side opposite to angle A = BC
hypotenuse AC
Cosine of angle A = Side adjacent to angle A = AB
hypotenuse AC
Tangent of angle A = Side opposite to angle A = BC
Side adjacent to angle A AB
Cosecant of angle A = 1 / Sine of angle A = hypotonuse = AC
Side opposite to angle A BC
Secant of angle A = 1 / Cosine of angle A = hypotonuse = AC
Side adjacent to angle A AB
Cotangent of angle A = 1 / tangent of angle A = Side adjacent to angle A = AB
Side opposite to angle A BC
The ratio above are abbreviated as sin A , cos A , tan A , cosec A , sec A and cot A respectively.
we can also say that,
tan A = sin A / cos A
cot A = cos A / sin A
Reciprocal Identity
1) sin A =1 / cosec A
2) cos A = 1 / sec A
3) tan A = 1 / cot A
4) cosec A = 1 / sin A
5) sec A = 1 / cos A
6) cot A = 1 / tan A
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