Trigonometric Ratios

Trigonometric Ratios

Before we learn about the Trigonometric Ratios let us learn about the meaning of Trigonometry in brief.

Trigonometry is a word consisting of three Greek words " Tri" means three, "Gon" means side, and "Metron" means measure. Thus, trigonometry is a study related to the measures of sides and angles of a triangle. Trigonometry is mainly used by captains of ships to find the direction and distance of islands and light houses from sea. Trigonometry is also used in astronomy, geography and engineering.
Trigonometric Functions and ratios can be studied with the help of examples:
The trigonometry radio co-ordinate plane, consider a point A on the +ve side of x-axis. The trigonometric ratios (circular functions) are defined as follows:

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The sine of the angle [theta] is defined as the ratio r/r it is denoted by sin [theta]
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sin [theta] =y/r ; cosecant values at [theta] =r/y = cosec [theta] ; y ≠ 0 and cos [theta] =x/r ; secant values at [theta] =r/x = sec [theta] ; x ≠ 0
*

tan [theta] =y/x ; cotangent values at [theta] =x/y = cot [theta] ; y ≠ 0

Let us learn some problems related to Trigonometric Ratios:

In any right-angled triangle ΔABC,That is given above,

let angle B = 90 o and angle C = Θ.

Line segment AC is the hypotenuse.

With reference to angle C, we can say that,

Line segment AB is the opposite side of

Line segment BC is the adjacent side of

Therefore, trigonometric ratios are given as,




Hope you like the above example of Trigonometric Ratios.Please leave your comments, if you have any doubts.