# Basic Trigonometry Formulas

## Trignometric Properties

$sin\quad A\quad =\quad \cfrac { Perpendicular }{ Hypotenuse } \quad =\quad \cfrac { P }{ H }$

$cos\quad A\quad =\quad \cfrac { Base }{ Hypotenuse } \quad =\quad \cfrac { B }{ H }$

$tan\quad A\quad =\quad \cfrac { Perpendicular }{ Base } \quad =\quad \cfrac { P }{ B }$

$cosec\quad A\quad =\quad \cfrac { Hypotenuse }{ Perpendicular } \quad =\quad \cfrac { H }{ P }$

$sec\quad A\quad =\quad \cfrac { Hypotenuse }{ Base } \quad =\quad \cfrac { H }{ B }$

$cot\quad A\quad =\quad \cfrac { Base }{ Perpendicular } \quad =\quad \cfrac { B }{ P }$

## Trignometric Identities

$tan\quad A\quad =\quad \cfrac { sin\quad A }{ cos\quad A }$

$cot\quad A\quad =\quad \cfrac { cos\quad A }{ sin\quad A }$

$cosec\quad A\quad =\quad \cfrac { 1 }{ sin\quad A }$

$sec\quad A\quad =\quad \cfrac { 1 }{ cos\quad A }$

${ sin }^{ 2 }A\quad +\quad { cos }^{ 2 }A\quad =\quad 1$

$tan^{ 2 }A\quad +\quad 1\quad =\quad { sec }^{ 2 }A$

$cot^{ 2 }A\quad +\quad 1\quad =\quad cosec^{ 2 }A$