![]() Step 1: For the sine table, count the fingers on the left side for the standard angle.For filling the sine values in the trigonometry table, we will include counting of the fingers, while for the cos table we will simply fill the values in reverse order. Let us learn the one-hand trick for remembering the trigonometric table easily! Designate each finger the standard angles as shown in the image. The following trigonometric table covers the value of trigonometric ratios for all basic angles ranging from 0º to 360º. Step 7: Determining the value of sec: (sec x = 1/cos x).Step 6: Determining the value of cosec: (cosec x = 1/sin x).Use the relation to generate the cot function as, Step 5: Determining the value of cot: (cot x = 1/tan x).Hence, the value of tan function can be generated as, Step 4: Determining the value of tan: (tan x = sin x/cos x).Using this, you can easily find out the value of cos function as, Use this formula to compute values for cos x. ![]() Step 3: Determining the value of cos: sin (90° – x) = cos x.This gives the values of sine for these 5 angles. The values of sin for these angles are 0, 1/2, 1/√2, √3/2, and 1 respectively. Step 2: Determining the value of sin: Write the angles 0°, 30°, 45°, 60°, and 90° in ascending order.Step 1: Create a table with the top row listing the angles such as 0°, 30°, 45°, 60°, 90°, 180°, 270° and 360°and write all trigonometric functions in the first column such as sin, cos, tan, cosec, sec, cot.Given below are the steps to create and remember a trigonometric table. Before generating the table, there are few formulas that must be followed as given below: The trigonometric table might seem complex at first, but it can be learned easily by only the values of sine for the 8 standard angles. This is due to the change in the quadrant. There is a sign change in the values in various places under 180°, 270°, etc for values of some trig ratios in a trigonometric table.The reason for this is that while computing the values, a "0" appears in their denominator, so the value becomes undefined and is said to be equivalent to infinity. The value for some ratios in a trig table is given as ∞ or "not defined".The values for complementary angles present like 30° and 60° in a trigonometric values table can be computed using complementary formulas for the various trigonometric ratios.It is best to remember the values of the trigonometric ratios of these standard angles.Ī few key points that can be noted in the trigonometric table are, In short, these ratios are written as sin, cos, tan, cosec, sec, and cot. The table consists of trigonometric ratios – sine, cosine, tangent, cosecant, secant, and cotangent. It is easy to predict the values of the trig ratios in a trigonometric table and to use the table as a reference to calculate trigonometric values for various other angles, due to the patterns existing within trigonometric ratios and even between angles. The trigonometric table is simply a collection of values of trigonometric functions of various standard angles including 0°, 30°, 45°, 60°, 90°, along with with other angles like 180°, 270°, and 360° included, in a tabular format. Note: Here, 1/√2 can also be written as √2/2 and 1/√3 can also be written as √3/3 (by rationalizing the denominators). Here is the trigonometry table for standard angles along with some non-standard angles: Trigonometry Table The trigonometric functions are namely the sine function, cosine function, tan function, cot function, sec function, and cosec function. Because of patterns existing within trigonometric ratios and even between angles, it is easy to both predict the values of the trigonometry table and use the table as a reference to calculate trigonometric values for various other angles. ![]() The trigonometric table is simply a collection of the values of trigonometric ratios for various standard angles including 0°, 30°, 45°, 60°, 90°, sometimes with other angles like 180°, 270°, and 360° included, in a tabular format.
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