Trigonometry studies triangle angles and sides relationships. Sine function relates opposite side to hypotenuse in right triangles. Sine function oscillates between -1 and 1 as angle increases
Cosine is one of six trigonometric functions, measuring adjacent side to hypotenuse. Cosine formula: cos(x) = adjacent side/hypotenuse for right-angled triangles
Cosecant (csc) is the ratio of opposite side to hypotenuse in right triangles. Formula: csc(α) = hypotenuse / opposite = c/a. Cosecant is reciprocal of sine function: csc(x) = 1/sin(x)
Sine function relates angle to perpendicular and hypotenuse sides in right triangles. Sin 18 degrees equals 0.30901 in decimal form. Sin 18 degrees can be written as sinπ/10 in circular system
Trigonometric ratios are derived from right-angled triangle sides. Three primary functions: sine, cosine, and tangent. Trigonometric ratios help find missing angles and sides in triangles
Angle is the space between two rays with the same endpoint. A full circle measures 360 degrees. Polygons have the same number of sides as interior angles