Trig Flashcards
What is the derivative of sin(x)?
cos(x)
What is the derivative of cos(x)?
-sin(x)
What is the derivative of tan(x)?
sec^2(x)
What is the derivative of csc(x)?
-csc(x)cot(x)
What is the derivative of sec(x)?
sec(x)tan(x)
What is the derivative of cot(x)?
-csc^2(x)
What is the integral of sin(x)?
-cos(x) + C
What is the integral of cos(x)?
sin(x) + C
What is the integral of tan(x)?
-ln|cos(x)| + C
What is the integral of csc(x)?
-ln|csc(x) + cot(x)| + C
What is the integral of sec(x)?
ln|csc(x) + cot(x)| + C
What is the integral of cot(x)?
ln|sin(x)| + C
What is the derivative of arcsin(x)?
1 / √(1 - x²).
What is the derivative of arccos(x)
-1 / √(1 - x²).
What is the derivative of arctan(x)?
1 / (1 + x²).
What is the derivative of arccsc(x)?
-1 / (|x|√(x² - 1)).
What is the derivative of arcsec(x)?
1 / (|x|√(x² - 1)).
What is the derivative of arccot(x)?
-1 / (1 + x²).
