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9.1 Introduction. In the previous chapter, you have studied about trigonometric ratios. In this chapter, you will be studying about some ways in which trigonometry is used in the life around you. Trigonometry is one of the most ancient subjects studied by scholars all over the world.
The two different types of trigonometry are: Plane Trigonometry. Spherical Trigonometry. In this article, let us discuss the six important trigonometric functions, ratios, trigonometry table, formulas and identities which helps to find the missing angles or sides of a right triangle.
Introduction to Trigonometry. Measurement of triangles is known as Trigonometry. Here we shall be dealing with the relation of sides and angles of a right-angled triangle. In the above diagram Base = AB, Perpendicular = BC, Hypotenuse = AC and angle of reference = ∠A.
In this chapter, we will study some ratios of the sides of a right triangle with respect to its acute angles, called trigonometric ratios of the angle. We will restrict our discussion to acute angles only. However, these ratios can be extended to other angles also. We will also define the trigonometric ratios for angles of measure 0° and 90°.
There are six functions of an angle commonly used in trigonometry. Their names and abbreviations are sine (sin), cosine (cos), tangent (tan), cotangent (cot), secant (sec), and cosecant (csc). These six trigonometric functions in relation to a right triangle are displayed in the figure.
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The process for determining the sine/cosine of any angle θ is as follows: Starting from (1,0), move along the unit circle in the counterclockwise direction until the angle that is formed between your position, the origin, and the positive x-axis is equal to θ
