Trigonometry Class 10

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Trigonometry is a branch of mathematics that deals with the relationships between the angles and sides of triangles, especially right-angled triangles. It introduces important functions like sine, cosine, and tangent, which help in calculating unknown sides and angles. Trigonometry is not limited to triangles—it also helps describe waves, motion, and circular movement. It plays a key role in subjects like physics, engineering, architecture, navigation, astronomy, and modern technologies such as graphics and signal processing.
Trigonometric ratios are ratios that show the relationship between the angles and sides of a right-angled triangle. For a given angle, these ratios compare the lengths of the sides of the triangle and help us calculate unknown sides or angles.
The six trigonometric ratios are:
Sine (sin) = perpendicular / hypotenuse
Cosine (cos) = base / hypotenuse
Tangent (tan) = perpendicular / base
Cosecant (cosec) = hypotenuse / perpendicular
Secant (sec) = hypotenuse / base
Cotangent (cot) = base / perpendicular
These ratios are fundamental in solving problems related to heights, distances, angles, and many applications in science and engineering.

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