Trigonometry Homework Help - K-12 Grade Level, College Level Mathematics

Introduction to Trigonometry

The study of triangles and the relationship between their sides and the angles among these sides is known as trigonometry. It is a branch of mathematics that defines the trigonometric functions that defines those relationships and has applicability to the cyclical phenomenon, such as waves. The field evolved during the third century BC as a branch of geometry that is extensively used for astronomical studies.

Sine

The Sine is a trigonometric function. This is the ratio of the length of the opposite side to the length of the hypotenuse.

Cosine

The Cosine is a trigonometric function. It is the ratio of the length of the adjoining side to the length of the hypotenuse: so called as it is the sine of the complementary or co-angle.

Tangent

The Tangent is a trigonometric function. This is the ratio of the length of the opposite side to the length of the adjacent side; so called as it can be stand for by a line segment tangent to the circle which is the line that touches the circle.

Cotangent

Cotangent is the trigonometric function that is for an acute angle and is the ratio between the leg adjacent to the angle whenever it is considered part of a right triangle and the leg opposite.

Secant:

a trigonometric function sec θ which is reciprocal of the cosine for all real numbers θ for which the cosine is not zero and that is exactly equal to the secant of an angle of measure θ in radians

Cosecant:

Cosecant is a trigonometric function which is for an acute angle is the ratio between the hypotenuse of a right triangle of which the angle is considered part and the leg opposite the angle

Table of Trigonometric functions

 Function Abbreviation Description Identities (using radians) Sine sin opposite / hypotenuse Cosine cos adjacent / hypotenuse Tangent tan (or tg) opposite / adjacent Cotangent cot (or cotan or cotg or ctg or ctn) adjacent / opposite Secant sec hypotenuse / adjacent Cosecant csc (or cosec) hypotenuse / opposite

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