Trigonometry Table PDF Free Download, Trigonometry Table, Formula, Chart, Functions and Values.
Trigonometry Table PDF Free Download
Table 0 To 360 Of Trigonometry: The Study Of The Connection Between A Triangle’s Length And Angles Is The Subject Of Trigonometry, A Branch Of Mathematics. It Typically Has A Right-angled Triangle With One Angle That Is Always 90 Degrees. It Has A Plethora Of Uses In Various Branches Of Mathematics. The Table Of Trigonometric Functions And Formulae May Also Be Used To Quickly Determine The Results Of Many Geometric Computations.
Finding The Values Of Trigonometric Standard Angles Like 0°, 30°, 45°, 60°, And 90° Is Made Easier By Using The Trigonometric Ratios Table. Trigonometric Ratios Such As Sine, Cosine, Tangent, Cosecant, Secant, And Cotangent Make Up This System. The Abbreviations For These Ratios Are Sin, Cos, Tan, Cosec, Sec, And Cot. To Answer Trigonometry Issues, You Must Know The Values Of The Standard Angle Trigonometric Ratios. As A Result, It’s Important To Keep In Mind These Common Angles’ Trigonometric Ratio Values.
The Trigonometric Table Is Helpful In A Variety Of Circumstances. It Is Necessary For Engineering, Science, And Navigation. Even In The Pre-digital Age, Before Pocket Calculators, This Table Was Successfully Employed. The Table Also Influenced The Creation Of The First Mechanical Computers. The Fast Fourier Transform (Fft) Techniques Are A Crucial Use For Trigonometric Tables.
The Trigonometry Table Is Simple To Learn And Will Be Useful In Many Situations. Recalling The Trigonometry Table Is Relatively Simple If You Are Familiar With The Trigonometry Formulae. The Trigonometry Formulae Are Necessary For The Trigonometry Ratios Table.
The Simple Methods To Memorising The Trigonometric Table Are Shown Below.
Before beginning, try to remember below trigonometry formulas.
- sin x = cos (90° – x)
- cos x = sin (90° – x)
- tan x = cot (90° – x)
- cot x = tan (90° – x)
- sec x = cosec (90° – x)
- cosec x = sec (90° – x)
- 1/sin x = cosec x
- 1/cos x = sec x
- 1/tan x = cot x
Steps to Create a Trigonometry Table
Step 1:
Create a table with the top row listing the angles such as 0°, 30°, 45°, 60°, 90°, and write all trigonometric functions in the first column such as sin, cos, tan, cosec, sec, cot.
Step 2: Determine the value of sin
To determine the values of sin, divide 0, 1, 2, 3, 4 by 4 under the root, respectively. See the example below.
To determine the value of sin 0°04=0
| Angles (In Degrees) | 0° | 30° | 45° | 60° | 90° | 180° | 270° | 360° |
| sin | 0 | 1/2 | 1/√2 | √3/2 | 1 | 0 | -1 | 0 |
Step 3: Determine the value of cos
The cos-value is the opposite angle of the sin angle. To determine the value of cos divide by 4 in the opposite sequence of sin. For example, divide 4 by 4 under the root to get the value of cos 0°. See the example below.
To determine the value of cos 0°44=1
| Angles (In Degrees) | 0° | 30° | 45° | 60° | 90° | 180° | 270° | 360° |
| cos | 1 | √3/2 | 1/√2 | 1/2 | 0 | -1 | 0 | 1 |
Step 4: Determine the value of tan
The tan is equal to sin divided by cos. tan = sin/cos. To determine the value of tan at 0° divide the value of sin at 0° by the value of cos at 0°. See the example below.
tan 0°= 0/1 = 0
Similarly, the table would be.
| Angles (In Degrees) | 0° | 30° | 45° | 60° | 90° | 180° | 270° | 360° |
| tan | 0 | 1/√3 | 1 | √3 | ∞ | 0 | ∞ | 0 |
Step 5: Determine the value of cot
The value of cot is equal to the reciprocal of tan. The value of cot at 0° will obtain by dividing 1 by the value of tan at 0°. So the value will be:
cot 0° = 1/0 = Infinite or Not Defined
Same way, the table for a cot is given below.
| Angles (In Degrees) | 0° | 30° | 45° | 60° | 90° | 180° | 270° | 360° |
| cot | ∞ | √3 | 1 | 1/√3 | 0 | ∞ | 0 | ∞ |
Step 6: Determine the value of cosec
The value of cosec at 0° is the reciprocal of sin at 0°.
cosec 0°= 1/0 = Infinite or Not Defined
Same way, the table for cosec is given below.
| Angles (In Degrees) | 0° | 30° | 45° | 60° | 90° | 180° | 270° | 360° |
| cosec | ∞ | 2 | √2 | 2/√3 | 1 | ∞ | -1 | ∞ |
Step 7: Determine the value of sec
The value of sec can be determined by all reciprocal values of cos. The value of sec on 0° is the opposite of cos on 0°. So the value will be:sec0∘=11=1
In the same way, the table for sec is given below.
| Angles (In Degrees) | 0° | 30° | 45° | 60° | 90° | 180° | 270° | 360° |
| sec | 1 | 2/√3 | √2 | 2 | ∞ | -1 | ∞ | 1 |
