Question

all the formula of trigonometry ​

Answer 1

⭐See this .....link

➡https://www.mathwords.com/t/trig_identities.htm

Answer 2

Answer: A.Trigonometry Formulas involving Periodicity Identities:

sin(x+2π)=sinx

cos(x+2π)=cosx

tan(x+π)=tanx

cot(x+π)=cotx

All trigonometric identities are cyclic in nature. They repeat themselves after this periodicity constant. This periodicity constant is different for different trigonometric identity. tan 45 = tan 225 but this is true for cos 45 and cos 225. Refer to the above trigonometry table to verify the values.

B.Trigonometry Formulas involving Cofunction Identities – degree:

sin(90∘−x)=cosx

cos(90∘−x)=sinx

tan(90∘−x)=cotx

cot(90∘−x)=tanx

C.Trigonometry Formulas involving Sum/Difference Identities:

sin(x+y)=sin(x)cos(y)+cos(x)sin(y)

cos(x+y)=cos(x)cos(y)–sin(x)sin(y)

tan(x+y)=tanx+tany1−tanx⋅tany

sin(x–y)=sin(x)cos(y)–cos(x)sin(y)

cos(x–y)=cos(x)cos(y)+sin(x)sin(y)

tan(x−y)=tanx–tany1+tanx⋅tany

D.Trigonometry Formulas involving Double Angle Identities:

sin(2x)=2sin(x).cos(x)

cos(2x)=cos2(x)–sin2(x)

cos(2x)=2cos2(x)−1

cos(2x)=1–2sin2(x)

tan(2x)=[2tan(x)][1−tan2(x)]

E.Trigonometry Formulas involving Half Angle Identities:

sinx2=±1−cosx2−−−−−−√

cosx2=±1+cosx2−−−−−−√

tan(x2)=1−cos(x)1+cos(x)−−−−−−√

Also, tan(x2)=1−cos(x)1+cos(x)−−−−−−√=(1−cos(x))(1−cos(x))(1+cos(x))(1−cos(x))−−−−−−−−−−−−−√=(1−cos(x))21−cos2(x)−−−−−−−−√=(1−cos(x))2sin2(x)−−−−−−−−√=1−cos(x)sin(x) So, tan(x2)=1−cos(x)sin(x)

F.Trigonometry Formulas involving Product identities:

sinx⋅cosy=sin(x+y)+sin(x−y)2

cosx⋅cosy=cos(x+y)+cos(x−y)2

sinx⋅siny=cos(x+y)−cos(x−y)2

G.Trigonometry Formulas involving Sum to Product Identities:

sinx+siny=2sinx+y2cosx−y2

sinx−siny=2cosx+y2sinx−y2

cosx+cosy=2cosx+y2cosx−y2

cosx−cosy=−2sinx+y2sinx−y2

This was all about Trigonometry formulas.