Trigonometric Functions

The trigonometric functions are also called trigonometric ratios. There are three basic and important trigonometric functions: Sine, Cosine, and Tangent.

The sine trigonometric function is written as sin, cosine as cos, and tangent as tan in trigonometry.
There are three more trigonometric functions: cosec, sec, and cot, which are the reciprocals of the sin, cos, and tan.
These functions can be evaluated for the right-angled triangle.

Let a right-angled triangle with base b, perpendicular p, and hypotenuse h form θ angle with the base. Then, the trigonometric functions are given by:

Trigonometric Functions	Formula of Trigonometric Functions
sin θ	sinθ = perpendicular/hypotenuse sinθ = p / h or θ = sin^-1( p / h)
cos θ	cosθ = base/hypotenuse cosθ = b / h or θ = cos^-1( b / h)
tan θ = sin θ/cos θ	tanθ = perpendicular/base tanθ = p / b or θ = tan^-1( p / b)
cosecθ = 1/sin θ	cosecθ = hypotenuse/perpendicular cosecθ = h / p or θ = cosec^-1(h / p)
secθ = 1/cos θ	secθ = hypotenuse/ base secθ = h / b or θ = sec^-1(h / b)
cotθ = 1/tan θ	cotθ = base/perpendicular cotθ = b / p or θ = cot^-1( b / p)

Trick to Remember Sin, Cos, Tan Ratio

Statement to remember	Some people have curly black hair to produce beauty
Some people have	sinθ (some) = perpendicular(people)/hypotenuse(have)
curly black hair	cosθ (curly)= base(black)/hypotenuse(hair)
to produce beauty	tanθ (to)= perpendicular(produce)/base(beauty)

Sin Cos Tan Values

Sin, Cos, and Tan are the basic ratios of Trigonometry that are used to study the relationship between the angles and respective sides of a triangle. These ratios are initially defined on a Right Angled Triangle using Pythagoras Theorem.

Trigonometric Functions

Trick to Remember Sin, Cos, Tan Ratio

Sin Cos Tan Values

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