Trigonometry Table

Trigonometry Table: Trigonometry is a branch of Mathematics deals with the study of length, angles and their relationships in a triangle. Trigonometric ratios are applicable only for right angle triangles, with one of the angle is equal to 90^o

The trig table is made up of the following of trigonometric ratios that are interrelated to each other – sin, cos, tan, cos, sec, cot.

sin (reciprocal of cosecant) = opposite over hypotenuse
cos (reciprocal of secant) = adjacent over hypotenuse
tan (reciprocal of cotangent) = opposite over adjacent
cot (reciprocal of tangent) = adjacent over opposite
cosec (reciprocal of sine) = hypotenuse over opposite
sec (reciprocal of cosine) = hypotenuse over adjacent

The calculations can easily be figured out by memorizing a table of functions most commonly known as the Trigonometric Table. This find use in several areas. Some of them include navigation video games, aviation, science, geography, engineering, geometry etc. The trigonometric table helped in many developments and in the field of Mechanical Engineering for first innovation.

The Trig ratios table gives us the values of standard trigonometric angles such as 0°, 30°, 45°, 60°, and 90°. These values hold increased precedence as compared to others as the most important problems employ these ratios. It is therefore very important to know and remember the ratios of these standard angles.

Tricks to Remember Trigonometry Table

Remembering the trigonometry table will be useful as it finds many applications, and there are many methods to remember the table. Knowing the Trigonometry formulas, ratios and identities automatically will lead to figuring out the table and the values. The Trigonometric ratio table is depended upon the trigonometry formulas in the same way all the functions of trigonometry are interlinked with each other.

Before attempting to begin, it is better to try and remember these values, and know the following trigonometric ratios of complementary angles.

sin x = cos (90∘−x)
cos x = sin (90∘−x)
tan x = cot (90∘−x)
cot x = tan (90∘−x)
sec x = cot (90∘−x)
cot x = sec (90∘−x)

Reciprocal relations of Trigonometric Ratios

1 / sin x = cosec x
1 / cos x= sec x
1 / sec x= cos x
1 / tan x= cot x
1 / cot x= tan x
1/ cosec x = sin x

Steps to Create Trigonometric Table:

Step 1: Draw a tabular column with the required angles such as 0, 30^o, 45^o, 60^o, 90^o, 180^o, 270^o, 360^o in the top row and all 6 trigonometric functions such as sine, cosine, tangent, cosecant, secant, and cotangent in first column.

Step 2:
Trigonometry Table 1

Step 3:
Trigonometry Table 2

Step 4:
Trigonometric Table 1

Step 5:
Trigonometric Table 2

Step 6:
Trig Table 1

Step 7:
Trig Table 2