Name

Trigonometry Maths All Formulas List

Language

English

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Schoollearningresources.com

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Education

201 KB

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10

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09/06/2023

Last Updated

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## Trigonometry Formulas List

Here we have shared the Basic to Advance Formulas List in Trigonometry.

Basic Trigonometry Formulas

• sin Î¸ = Opposite Side/Hypotenuse
• cos Î¸ = Adjacent Side/Hypotenuse
• tan Î¸ = Opposite Side/Adjacent Side
• sec Î¸ = Hypotenuse/Adjacent Side
• cosec Î¸ = Hypotenuse/Opposite Side
• cot Î¸ = Adjacent Side/Opposite Side

Periodic Identity of Trigonometric Angles

• sin(Ï€2â€“A)=cosA  & cos(Ï€2â€“A)=sinA
• sin(Ï€2+A)=cosA & cos(Ï€2+A)=â€“sinA
• sin(3Ï€)2â€“A)=â€“cosA & cos(3Ï€2â€“A)=â€“sinA
• sin(3Ï€2+A)=â€“cosA & cos(3Ï€2+A)=sinA
• sin(Ï€â€“A)=sinA & cos(Ï€â€“A)=â€“cosA
• sin(Ï€+A)=â€“sinA & cos(Ï€+A)=â€“cosA
• sin(2Ï€â€“A)=â€“sinA & cos(2Ï€â€“A)=cosA
• sin(2Ï€+A)=sinAcos(2Ï€+A)=cosA

Sum and Difference Trigonometric Formula

• sin(x+y)=sin(x)cos(y)+cos(x)sin(y)
• cos(x+y)=cos(x)cos(y)â€“sin(x)sin(y)
• tan(x+y)=(tanx+tany)(1âˆ’tanxâˆ™tany)
• sin(xâ€“y)=sin(x)cos(y)â€“cos(x)sin(y)
• cos(xâ€“y)=cos(x)cos(y)+sin(x)sin(y)
• tan(xâˆ’y)=(tanxâ€“tany)(1+tanxâˆ™tany)

Double Angle Formula

• sin(2x)=2sin(x)âˆ™cos(x)=2tanx(1+tan2x)
• cos(2x)=cos2(x)â€“sin2(x)=(1âˆ’tan2x)(1+tan2x)
• cos(2x)=2cos2(x)âˆ’1=1â€“2sin2(x)
• tan(2x)=2tan(x)1âˆ’tan2(x)
• sec(2x)=sec2x(2âˆ’sec2x)
• csc(2x)=(secx.cscx)2

Inverse Trigonometric Function

• sinâˆ’1(â€“x)=â€“sinâˆ’1x
• cosâˆ’1(â€“x)=Ï€â€“cosâˆ’1x
• tanâˆ’1(â€“x)=â€“tanâˆ’1x
• cosecâˆ’1(â€“x)=â€“cosecâˆ’1x
• secâˆ’1(â€“x)=Ï€â€“secâˆ’1x
• cotâˆ’1(â€“x)=Ï€â€“cotâˆ’1x

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