Introduction to Trigonometry — Chapter Summary
Madhya Pradesh Board · Class 10 · Mathematics
Summary of Introduction to Trigonometry for Madhya Pradesh Board Class 10 Mathematics. Part of the Madhya Pradesh Board Class 10 Mathematics syllabus.
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Overview
Trigonometry is the study of relationships between the sides and angles of a triangle. Its name comes from Greek words meaning three, sides, and measure. Right triangles are the main focus because their side lengths and acute angles can be linked through fixed ratios. These ratios stay the same for
Key Concepts
In a right triangle ABC
In a right triangle ABC, if angle A is acute, BC is the side opposite angle A, AB is the side adjacent to angle A, and AC is the hypotenuse.
sin A = BC/AC
sin A = BC/AC, cos A = AB/AC, and tan A = BC/AB.
cosec A = AC/BC
cosec A = AC/BC, sec A = AC/AB, and cot A = AB/BC. Also, cosec A = 1/sin A, sec A = 1/cos A, and cot A = 1/tan A.
tan A = sin A /
tan A = sin A / cos A and cot A = cos A / sin A.
If the angle stays the same
If the angle stays the same, the trigonometric ratios stay the same even when the triangle changes size, because similar triangles have proportional s
Learning Objectives
- Understand the meaning of trigonometric ratios in a right triangle
- Learn the six trigonometric ratios: sin, cos, tan, cosec, sec, and cot
- Recognize the reciprocal relationships among the ratios
- Use trigonometric ratios to find unknown sides and angles in right triangles
- Learn the values of trigonometric ratios for 0°, 30°, 45°, 60°, and 90°
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