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All basic formulas of trigonometric identities

What are the double-angle formulas

Trigonometric identities for sine, cosine, tangent and cotangent :

sin( 2α ),    cos( 2α ),    tg( 2α ),    ctg( 2α )

 

double angle sin Formula   

double angle sin Formula1   

double angle cos Formula   

double angle cos Formula1   

double angle cos Formula2   

double angle tg Formula   

double angle ctg Formula   

 

 

Triple angle formulas, trigonometry

Identities for sine, cosine, tangent and cotangent :

sin( 3α ),    cos( 3α ),    tg( 3α ),    ctg( 3α )

 

triple angle sin F   

triple angle cos F   

triple angle tg F   

triple angle ctg F   

 

 

Half-angle formula for tangent

Trigonometric identities for sine, cosine, tangent and cotangent :

sin( α / 2  ),    cos( α / 2 ),    tg( α / 2 ),    ctg( α / 2 )

 

half angle sin Formula     

half angle cos F     

half angle tan Formula     

half angle ctan F     

 

 

Trigonometric functions cubed (sine, cosine, tangent and cotangent)

sin3( α ),    cos3( α ),    tg3( α ),    ctg3( α )

 

cube sin F     

cube cos F     

cube tg F     

cube ctg F     

 

 

Trigonometric functions squared (sine, cosine, tangent and cotangent)

sin2( α ),    cos2( α ),    tg2( α ),    ctg2( α )

 

square sin F     

square cos F     

square tg F     

square ctg F     

 

 

Sum of trigonometric functions (sine, cosine, tangent)

sum fun sin F     

sum fun sin2 F     

sum fun cos F     

sum fun tg F     

 

 

Difference of trigonometric functions (sine, cosine, tangent)

difference fun sin F     

difference fun sin2 F     

difference fun cos F     

difference fun tg F     

 

 

Product of trigonometric functions (sine, cosine, tangent and cotangent )

multi sin sin F     

multi sin cos F     

multi cos cos F     

multi tg tg F     

multi ctg ctg F     

multi tg ctg F     

 

 

Trigonometric functions of sum of two angles.

Formulas for sine, cosine, tangent and cotangent :

sin(α+β),   cos(α+β),   tg(α+β),   ctg(α+β)

 

sum sin Formula     

sum cos Formula     

sum tg Formula     

sum ctg Formula     

 

 

Trigonometric functions of difference of two angles

Formulas for sine, cosine, tangent and cotangent :

sin(α- β),   cos(α- β),   tg(α- β),   ctg(α- β)

 

difference sin Formula   

difference cos Formula   

difference tg Formula   

difference ctg Formula