Trigonometry Tips and Tricks for Government Exams

Trigonometry

Trigonometry is a branch of mathematics in which we study relationships between sides and angles of a triangle. Trigonometry works in all forms of geometry because every straight-sided figure can be divided into a set of triangles. In addition, trigonometry has surprisingly complex relationships with other branches of mathematics, especially complex numbers, infinite series, logarithms, and calculus.

Trigonometry Table

A trigonometric table is a set of trigonometric ratio values for various standard angles, including other angles such as 0°, 30°, 45°, 60°, 90°, sometimes 180°, 270° and 360°. , in tabular format. Because of the patterns within trigonometric ratios and even between angles, it is easy to predict values from the trig table and use the table as a reference to calculate trigonometric values for various other angles. Trigonometric functions are sine function, cosine function, tan function, cot function, sec function, and cosec function.

Trigonometric values

Trigonometry deals with the relationship between the sides of a triangle (a right-angled triangle) and its angles. Trigonometric value is a collective term for the values of various ratios such as sine, cosine, tangent, secant, tangent, and cosecant of a trigonometric table. All trigonometric ratios are related to the sides of a right-angled triangle and their values are found using the following ratios.

Steps to Create a Trigonometric Ratios Table

To make Trigonometric table students can follow the steps given below:

• Step 1: Make a table listing the top row of angles as 0°, 30°, 45°, 60°, 90° and write all trigonometric functions in the first column as sin, cos, tan, cosec, sec, cot.
• Step 2: To Find out the value of sin

Write down the angles 0°, 30°, 45°, 60°, 90° in ascending order and allocate them values 0, 1, 2, 3, 4 according to the order.

Like this 0→→0, 30→→1, 45→→2, 60→→3, 90→→4.

Divide the values by 4 and the square root of the entire value.

0° → √0/2 30° → 1 /2; 45° → 1/ √2; 60° → √3/2; 90° → √(4/4)

• Step 3: Find the value of cos: sin (90° - x) = cos x. Use this formula to calculate cos x values. For example, cos 45° = sin (90° - 45°) = sin 45°. Similarly, cos 30° = sin (90° - 30°) = sin 60°. Using this you can easily find the value of cos function as,
  
• Step 4: To Find the value of tan: (tan x = sin x / cos x). Therefore, the value of the function tan can be constructed as,
  
• Step 5: To Find the value of (cot x = 1/tan x). Therefore, the value of the cot function can be constructed as,
  
• Step 6: To determine the value of cosec x: (cosec x = 1/sin x)
  
• Step 7: To determine the value of sec (sec x = 1/cos x)

Tricks to remember trigonometry table

Memorizing trigonometry tables will help you in many ways and It’s not difficult to remember the table. If you know the trigonometric formulas, the trigger table is very easy to remember. The trigonometric ratio table is based on trigonometric formulas.

Below we are giving some simple trigonometric formulas. Start by memorizing these simple trigonometric 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

Trigonometry Ratios Table