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 |
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sin θ |
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cos θ |
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tan θ = sin θ/cos θ |
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cosecθ = 1/sin θ |
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secθ = 1/cos θ |
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cotθ = 1/tan θ |
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Trick to Remember Sin, Cos, Tan Ratio
Statement to remember |
Some people have curly black hair to produce beauty |
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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.