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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.
8 lis 2014 · The module is divided into 5 lessons that cover the six trigonometric ratios, ratios of special angles, angles of elevation and depression, application word problems involving right triangles, and the laws of sines and cosines for solving problems with oblique triangles.
In this figure, the line AC drawn from the eye of the student to the top of the minar is called the line of sight. The student is looking at the top of the minar. The angle BAC, so formed by the line of sight with the horizontal, is called the angle of elevation of the top of the minar from the eye of the student.
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°.
These identities involve adding and subtracting the quandrantal angles, 90°, 180°, and 270°, from the angle measure to find equivalent values of the trigonometric function. You can use your knowledge of phase shifts and reflections to find the components of these identities.
In grade 9 we are going to do only 3 ratios. Each ratio has been named. The three ratios we will be doing is called sine, cosine and tangent or in short sin, cos and tan. If we call ∠ A theta, , then the three trigonometric ratios with respect to are: sin θ = opposite side = BC. hypotenuse side AB. cos θ = adjacent side = AC. hypotenuse side AB.
3 rules of bearings. Bearings are measured from the North line. Bearings are measured in the clockwise direction. Bearings are expressed with 3-figures so 65∘ becomes 065∘ . Bearing of A from B. ⇒ start from B (so draw a north line at B).
