Trig Flashcards
What is the reciprocal identity for sin(x)?
1 / csc(x)
What is the reciprocal identity for cos(x)?
1 / sec(x)
What is the reciprocal identity for tan(x)?
1 / cot(x)
What is the reciprocal identity for csc(x)?
1 / sin(x)
What is the reciprocal identity for sec(x)?
1 / cos(x)
What is the reciprocal identity for cot(x)?
1 / tan(x)
What are the 3 Pythagorean identities?
- sin^2(x) + cos^2(x) = 1
- tan^2(x) + 1 = sec^2(x)
- cot^2(x) + 1 = csc^2(x)
What is the double angle identity for sin2(x)?
2sin(x) * cos(x)
What are the double identities for cos2(x)?
- cos^2(x) - sin^2(x)
- 1 - 2 sin^2(x)
- 2cos^2(x) - 1
What is the double angle identity for tan2(x)?
2tan(x) / 1 - tan^2(x)
What are the derivatives of y = sin x?
y’ = cos x
What are the derivatives of y = cos x?
y’ = - sin x
What are the derivatives of y = tan x?
y’ = sec^2 x
What are the derivatives of y = cot x?
y’ = -csc^2 x
What are the derivatives of y = sec x?
y’ = sec x tan x
What are the derivatives of y = csc x?
y’ = -csc x cot x
What is the derivative of the exponential function?
f’(x) = b^x ln(b)
What is the derivative of the logarithmic function?
f’(x) = 1 / x ln (b)
What is the derivative for the inverse sin function?
f’(x) = 1/√1-x²
What is the derivative of the inverse cos function?
f’(x) = -1/√1-x²
What is the derivative of the inverse tan function?
f’(x) = 1/(1+x²)
What is the derivative of the inverse csc function?
f’(x) = -1/(|x|√x²-1)
What is the derivative of the inverse sec function?
1/(|x|√x²-1)
What is the derivative of the inverse cot function?
-1/(1+x²)
