What are the Steps to Create Values for Trigonometry Table?

The Trigonometric Table is essentially a tabular compilation of trigonometric values and ratio for various conventional angles such as 0°, 30°, 45°, 60°, and 90°, often with extra angles such as 180°, 270°, and 360° included. Due to the existence of patterns within trigonometric ratios and even between angles, it is simple to forecast the values of the trigonometry table and to use the table as a reference to compute trigonometric values for many other angles. The sine function, cosine function, tan function, cot function, sec function, and cosec function are trigonometric functions.

The trigonometric table is helpful in a variety of situations. It is required for navigating, research, and architecture. This table was widely utilized in the pre-digital age, even before pocket calculators were available. The table also aided in the creation of the earliest mechanical computing machines. The Fast Fourier Transform (FFT) algorithms are another notable application of trigonometric tables.

Steps to Create Values for Trigonometry Table

Step 1:

Make a table with the top row showing the angles such as 0°, 30°, 45°, 60°, and 90°, and the first column listing the trigonometric functions such as sin, cos, tan, cosec, sec, cot.

Step 2: Determine the value of sin

To find the sin values, divide 0, 1, 2, 3, 4 by 4 under the root, in that order. Consider the following example.

Step 3: Determine the value of cos

The cos-value is the inverse of the sin angle. To find the value of cos, divide by 4 in the opposite order as sin. For example, to find cos 0°, divide 4 by 4 under the root.

Step 4: Determine the value of tan

Tan is defined as sin divided by cos. Tan equals sin/cos. Divide the value of sin at 0° by the value of cos at 0° to get the value of tan at 0°.

Step 5: Determine the value of cot

The reciprocal of tan is the value of cot. Divide 1 by the value of tan at 0° to get the value of cot at 0°. As a result, the value will be as follows: cot 0° = 1/0 = Unlimited or Not Defined

Step 6: Determine the value of cosec

The reciprocal of sin at 0° is the value of cosec at 0°.

cosec 0° = 1/0 = Unlimited or Undefined

Step 7: Determine the value of sec

Any common values of cos may be used to calculate sec. The value of sec on 0° is the inverse of the value of cos on 0°.

While we learn trigonometric values of the trigonometry table, it will also be interesting to take note of the application areas of the table. On a broader note, the trigonometric table is used in:

Science, technology, engineering, navigation, science and engineering. Before the advent of the digital era, the trigonometric table was very effective. In the course of time, the table helped in the conceptualization of mechanical computing devices. Trigonometric tables are also used in the Fast Fourier Transform (FFT) algorithms.

The angle values of trigonometric functions, cotangent, secant, and cosecant are computed by applying these standard angle values of sine, cosecant, tangent. All the higher angle values of trigonometric functions such as 120°, and 360°, are easier to compute, through the standard angle values in a trigonometric values table. If you still can’t remember the values of Trigonometry tables, consider Tutoroot Personalised sessions. Our experts will help you clearly understand the table along with tricks to memorize.

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