Trig identities Flashcards
Trig identities
- sin^20 + cos^20 = 1
- tanx = sinx/cosx
- cosec^2x = 1 + cot^2x
- 1 + tan^2x = sec^2x
- cotx = cosx/ sinx
Sin reciprocal
Cosec (x)
Cos reciprocal
Sec(x)
Tan reciprocal
Cot (x)
Domain and range of the sec graph
Domain- x ≠ nπ /2
Range- sec(x) > or = 1
Sec (x) < or = -1
Domain and range of cosec graph
Domain- x≠ nπ
Range- Cosec > or = 1
Cosec < or = -1
Domain and range of cot graph
Domain- x≠ nπ For even values of n
Range- cot (x) real numbers
Domain and range of tan graph
Domain- x≠ nπ /2 for odd values of n
Range- real numbers
Cos(A+B) compound angle formula
CosACosB - SinASinB
Cos(A-B) compound angle formula
CosACosB + SinASinB
Sin(A+B) compound angle formula
SinACosB + CosASinB
Sin(A-B) compound angle formula
SinACosB - CosASinB
Tan(A+B) compound angle formula
(tanA + tanB) / (1-tanAtanB)
Tan(A-B) compound angle formula
(tanA - tanB) / (1+tanAtanB)
sin 2Θ double angle formula
2SinΘCosΘ
Cos2Θ double angle formula
cos^2Θ - sin^Θ
1-2Sin^2Θ
2Cos^2Θ - 1
tan2Θ double angle formula
(2tanΘ / 1-tan^2Θ)
Sin^2Θ half angle formula
1-Cos2Θ /2
Sin (x/2) half angle formula
square root of +-
1-cosx /2
Cos^2Θ half angle formula
1 + cos2Θ /2
Cos(x/2) half angle formula
square root of +-
1+Cosx /2
Tan(x/2) half angle formula
Square root of +-
1-cos(x))/(1+cos(x)
