SIN θ, COS θ, TAN θ AND THEIR RECIPROCALS

In this article we will see about the Six distinct trigonometric ratios. SIN θ, COS θ, TAN θ AND THEIR THREE RECIPROCALS.

These trigonometric ratios are ratios of sides of a triangle and hence are real numbers.

SIN θ:

Full form - sine θ 

SIN θ = opposite side/hypotenuse = y/r

COS θ:

Full form: Cosine θ

COS θ = Adjacent side / hypotenuse = x/r

TAN θ:

Full form: Tangent θ

TAN θ = Opposite side / Adjacent Side = y/x

Now their reciprocals are - 

Co-Tangent θ or in short COT θ = 1/(tan θ) = x/y

Co-secant θ or in short COSEC θ = 1/ (sin θ) = r/y

Secant θ or in-short SEC θ = 1/(cos θ) = r/x

Note:

1. The Trigonometric ratios being ratios of lengths of sides of a right angled triangle (and not length itself) defined by the vector point P along with its projections onto x and y axis in cartesian space (coordinate space), it is independent of the length of the vector OP.

2. The values are dependent only on the angle of measure θ.