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State whether the following statements are true or false. Justify your answer. Trigonometry is the study of relationships between the sides and angles of a right-angled triangle. Trigonometric ratios of an acute angle in a right triangle express the relationship between the angle and the length of its sides.

Note: The values of the trigonometric ratios of an angle do not vary with the lengths of the sides of the triangle, if the angle remains same.

The word 'trigonometry' is derived from the Greek words 'tri' meaning three , 'gon' meaning sides , and 'metron' meaning measure justifying its relationship with the three-sided polygon triangle. Class 10th Maths Chapter 8 exercise 8. The angles discussed here are predominantly acute angles, for simplicity, though it can be extended to obtuse angles. Trigonometry has a lot of real-life applications- it is used in various industries, and even simple distance height problems can be solved with trigonometry.

Those types of real-life problem-based questions will also be encountered by the student later in Maths Chapter 8 exercise 8. There are six trigonometric ratios of angle, namely sin, cos, tan, cosec, sec, cot.

Of which cosec, sec, and cot are the inverse of sin cos and tan about which you would learn more in detail in Class 10 Maths Chapter 8 exercise 8. In the right triangle, the side opposite to the right angle i.

Let us consider a non-right acute angle of the triangle, say A, and the trigonometric ratios are defined based on the adjacent side of the angle and the opposite side of the angle.

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