Tangent Cotangent Cosecant

Tangent Cotangent Cosecant:
Let us learn about the meaning of Tangent,Cotangent and Cosecant in brief.
Definition of Tangent Cotangent Cosecant:

Some of the Trigonometric functions are defined from the right-angled triangle.

Tangent (Tan):

The ratio of length of the adjacent side and the opposite side of an angle is called as tangent.

Tan (θ) = adjacent / opposite

Cotangent (cot):

The ratio of length of the opposite side and the adjacent side of an angle is called as cotangent.

Cot (θ) = Opposite / Adjacent

Cosecant (csc):

It is the ratio of length of the hypotenuse and the adjacent Side of an angle is called as cosecant.

Cosec (θ) = hypotenuse / adjacent.

Example Problems for Tangent Cotangent Cosecant:

Example 1:

Find the measure of the length of other sides and also find the tangent function values for the given right angle triangle.


Using the trigonometry functions, find the length of the other side

Tangent function:

tan θ = adj / opp

tan θ = 8 /6

tan θ = 4/ 3

θ = tan -1 (4/3)

θ = 53 °.

Using the Pythagorean Theorem

In the given right angle triangle

AC2 = AB2 + BC2

Here,

AB = Opposite side

BC = Adjacent side

AC = Hypotenuse

AC2 = AB2 + BC2

= 62 + 82

= 36 + 64

AC2 = 100

AC = 10

Hypotenuse for the given right angle triangle is 10.

Hope you like the above example of Tangent Cotangent Cosecant.Please leave your comments, if you have any doubts.