Trigonometry
the mathematics of triangles and trigonometric functions
Trigonometry is a branch of mathematics that deals with the study of the relationships between the sides and angles of triangles. It has been around for centuries and has several practical applications in fields such as engineering, physics, astronomy, and navigation.
Trigonometry is based on six fundamental trigonometric functions: sine, cosine, tangent, cosecant, secant, and cotangent. These functions are interrelated and are used to solve problems involving triangles.
Sine, cosine, and tangent are often abbreviated as sin, cos, and tan, respectively. They are defined as ratios of the lengths of the sides of a right-angled triangle.
Sinθ = Opposite/Hypotenuse
Cosθ = Adjacent/Hypotenuse
Tanθ = Opposite/Adjacent
Cosecant, secant, and cotangent, often abbreviated as csc, sec, and cot, respectively, are the reciprocals of sine, cosine, and tangent. They can be expressed as follows:
Cscθ = 1/Sinθ
Secθ = 1/Cosθ
Cotθ = 1/Tanθ
Trigonometry can be used to solve a variety of problems, including finding the height of a building, determining the distance between two points, calculating the angles of a triangle, and predicting the behavior of waves. It is also used extensively in calculus and other branches of mathematics.
More Answers:
Cosine Of 30 Degrees: How To Calculate With An Easy MethodCalculating Sin 60°: Trigonometric Functions And Right-Angled Triangles.
Calculating Sin 45° Without A Calculator: Exact Value And Step-By-Step Guide.