Trig Nonsense I Forget

Question 1

The derivative of cos is _____

Answer 1

-sin

Question 2

The derivative of sin is _____

Answer 2

cos

Question 3

The derivative of tan is _____

Answer 3

sec²

Question 4

The derivative of cot is _____

Answer 4

-csc²

Question 5

The derivative of csc is _____

Answer 5

(-csc)(cot)

Question 6

The derivative of sec is _____

Answer 6

(sec)(tan)

Question 7

The derivative of sin⁻¹ is _____

Answer 7

1/√(1-x²)

Question 8

The derivative of cos⁻¹ is _____

Answer 8

-1/√(1 - x²)

Question 9

The derivative of tan⁻¹ is _____

Answer 9

1/(1+x²)

Question 10

The antiderivative of sin(x) dx is _____

Answer 10

-cos(x)+C

Question 11

The antiderivative of cos(x) dx is _____

Answer 11

sin(x)+C

Question 12

The antiderivative of sec²(x) dx is _____

Answer 12

tan(x)+C

Question 13

The antiderivative of csc²(x) dx is _____

Answer 13

-cot(x)+C

Question 14

The antiderivative of sec(x)*tan(x) dx is _____

Answer 14

sec(x)+C

Question 15

The antiderivative of csc(x)*cot(x) dx is _____

Answer 15

-csc(x)+C

Question 16

The antiderivative of tan(x) dx is _____

Answer 16

-ln|cos(x)|+C

Question 17

The antiderivative of cot(x) dx is _____

Answer 17

ln|sin(x)|+C

Question 18

The antiderivative of sec(x) dx is _____

Answer 18

ln|sec(x)+tan(x)|+C

Question 19

The antiderivative of csc(x) dx is _____

Answer 19

ln|csc(x)-cot(x)|+C

Question 20

The antiderivative of dx/√(a²-x²) is _____

Answer 20

sin⁻¹(x/a)+C

Question 21

The antiderivative of dx/(a²+x²) is ______

Answer 21

(1/a)*tan⁻¹(x/a)+C

Question 22

The antiderivative of dx/x√(x²-a²) is _____

Answer 22

(1/a)*sec⁻¹(x/a)+C