7. Trigonometry
Trigonometry explores the relationships between the sides and angles of triangles, particularly right-angled ones. Key concepts include the definitions of primary trigonometric ratios such as sine, cosine, and tangent, as well as their reciprocal ratios. Additionally, the chapter discusses standard angle values and practical applications of trigonometry in various fields.
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What we have learnt
- Trigonometry is essential for finding unknown sides or angles in right-angled triangles.
- Primary trigonometric ratios include sine, cosine, and tangent, while reciprocal ratios include cosecant, secant, and cotangent.
- Trigonometric ratios have practical applications in physics, engineering, architecture, and astronomy.
Key Concepts
- -- Sine (sin)
- The ratio of the length of the opposite side to the length of the hypotenuse in a right-angled triangle.
- -- Cosine (cos)
- The ratio of the length of the adjacent side to the length of the hypotenuse in a right-angled triangle.
- -- Tangent (tan)
- The ratio of the length of the opposite side to the length of the adjacent side in a right-angled triangle.
- -- Cosecant (cosec)
- The reciprocal of sine, defined as the ratio of the hypotenuse to the opposite side.
- -- Secant (sec)
- The reciprocal of cosine, defined as the ratio of the hypotenuse to the adjacent side.
- -- Cotangent (cot)
- The reciprocal of tangent, defined as the ratio of the adjacent side to the opposite side.
- -- Trigonometric Ratios for Standard Angles
- Known values of trigonometric ratios for angles 0°, 30°, 45°, 60°, and 90°.
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