cheat sheet for intro to right angle trig

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 ratios are known as the sine ( sin ), cosine ( cos ) and tangent ( tan ) of the angle.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. They are called the three trigonometric ratios because they show how long one side is compared with another. The three divisions are written as fractions.

The answer to these division calculations depends on a given angle, Ɵ. The hypotenuse, opposite and adjacent side can be divided in three important ways. For example, the adjacent side divided by the hypotenuse will give the same answer no matter how much the triangle is enlarged. įor similar right-angled triangles, the hypotenuse, opposite and adjacent sides stay in the same proportion. Therefore, right-angled triangles that include the same angle are similar. This is true because angles in a triangle add up to 180°.

įor two right-angled triangles, if an angle (other than the right angle) is the same, the third angle will also be the same. Triangles that have the same three angles are enlargements of each other and are known as similar triangles.

Cheat sheet for intro to right angle trig