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table value and angle
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Trigonometry Table 0 to 360: Trigonometry is a branch in Mathematics, which involves the study of the relationship involving the length and angles of a triangle. It is generally associated with a right-angled triangle, where one of the angles is always 90 degrees. It has a vast number of applications in other fields of Mathematics. Many geometric calculations can be easily figured out using the table of trigonometric functions and formulas as well.
Trigonometric ratios table helps to find the values of trigonometric standard angles such as 0°, 30°, 45°, 60° and 90°. It consists of trigonometric ratios – sine, cosine, tangent, cosecant, secant, cotangent. These ratios can be written in short as sin, cos, tan, cosec, sec and cot. The values of trigonometric ratios of standard angles are essential to solve the trigonometry problems. Therefore, it is necessary to remember the values of the trigonometric ratios of these standard angles.
The trigonometric table is useful in the number of areas. It is essential for navigation, science and engineering. This table was effectively used in the pre-digital era, even before the existence of pocket calculators. Further, the table led to the development of the first mechanical computing devices. Another important application of trigonometric tables is the Fast Fourier Transform (FFT) algorithms.
Trigonometry Ratios Table
Angles (In Degrees) 0° 30° 45° 60° 90° 180° 270° 360°
Angles (In Radians) 0° π/6 π/4 π/3 π/2 π 3π/2 2π
sin 0 1/2 1/√2 √3/2 1 0 -1 0
cos 1 √3/2 1/√2 1/2 0 -1 0 1
tan 0 1/√3 1 √3 ∞ 0 ∞ 0
cot ∞ √3 1 1/√3 0 ∞ 0 ∞
cosec ∞ 2 √2 2/√3 1 ∞ -1 ∞
sec 1 2/√3 √2 2 ∞ -1 ∞ 1
Tricks To Remember Trigonometry Table
Remembering the trigonometry table will help in many ways and it is easy to remember the table. If you know the trigonometry formulas then remembering the trigonometry table is very easy. The Trigonometry ratios table is dependent upon the trigonometry formulas.
Below are the few steps to memorize the trigonometry table.
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
I think it will help you