Trigonometry/Trigonometric Analysis
Welcome to the Lesson of Analytical Trigonometry
Part of the School of Olympiads
This topic deals with the analytical aspects of Trigonometry. Widely this topic covers Trigonometric Identities and Equations. And important part of this topic is trigonometry through Complex Numbers by the use of De Moivre's Law and its application.
Function | Inverse function | Reciprocal | Inverse reciprocal | ||||
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sine | sin | arcsine | arcsin | cosecant | csc | arccosecant | arccsc |
cosine | cos | arccosine | arccos | secant | sec | arcsecant | arcsec |
tangent | tan | arctangent | arctan | cotangent | cot | arccotangent | arccot |
Theorems edit
Identities edit
Basic Relationships edit
Pythagorean trigonometric identity | |
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Ratio identity |
Function | ||||||
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Name(s) | Abbreviation(s) | Value |
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versed sine, versine | |
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versed cosine, vercosine, coversed sine, coversine |
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haversed sine, haversine | |
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haversed cosine, havercosine, hacoversed sine, hacoversine, cohaversed sine, cohaversine |
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exterior secant, exsecant | ||
exterior cosecant, excosecant |
Reflected in | Reflected in (co-function identities) |
Reflected in |
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Shift by π/2 | Shift by π Period for tan and cot |
Shift by 2π Period for sin, cos, csc and sec |
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Angle Sum Identities edit
Complex Numbers, De Moivre's Law and Argand Plane edit
Examples edit
Resources edit
Textbooks edit
Practice Questions edit
Related WebApps edit
Active participants edit
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