Things I Should Know

Question 0

sin(0) = ???

Answer 0

0

Question 1

sin(pi / 2) = ????

Answer 1

1

Question 2

What is another way to write tanx?

Answer 2

sinx/cosx

Question 3

ln(e) = ???

Answer 3

1

Question 4

What is the derivative of arctanx (tan^-1(x))

Answer 4

1/(1+x^2) dx

Question 5

arctan(1) = ????

Answer 5

Pi/4

Question 6

ln(1) = ???

Answer 6

0

Question 7

What is the Half Angle formula for sin^2(x)

Answer 7

sin^2(x) = (1/2)(1-cos(2x))

Question 8

What is the Half Angle formula for cos^2(x)

Answer 8

cos^2(x) = (1/2)(1+cos(2x))

Question 9

What is the Half Angle formula for tan^2(x)

Answer 9

(1-cos^(2x))/(1+cos^2(2x))

Question 10

sinx/cosx = ???

Answer 10

tanx

Question 11

1/cosx = ???

Answer 11

secx

Question 12

cosx/sinx = ???

Answer 12

cotx

Question 13

1/sinx

Answer 13

cscx

Question 14

What is the derivative of secx?

Answer 14

secx*tanx

Question 15

1+cot^2(x) = ???

Answer 15

csc^2(x)

Question 16

What is the derivative of cscx?

Answer 16

-cscx*cotx

Question 17

What is the derivative of cotx?

Answer 17

-csc^2(x)

Question 18

What is the anti derivative of tanx?

Answer 18

ln|secx|+C

Question 19

What is the anti derivative of cotx

Answer 19

ln|sinx|+C

Question 20

What is the anti derivative of secx

Answer 20

ln|secx+tanx|+C

Question 21

What is the anti derivative of cscx

Answer 21

ln|cscx-cotx|+C

Question 22

1+cot^2(x) = ???

Answer 22

csc^2(x)

Question 23

What is the derivative of arctanx?

Answer 23

1/(1+x^2)

Question 24

Answer 24

DONE

Question 25

How many degrees is pi/6?

Answer 25

30

Question 26

How many degrees is pi/4

Answer 26

45

Question 27

How many degrees is pi/3

Answer 27

60

Question 28

How many degrees is pi/2

Answer 28

90

Question 29

What is the Trig Substitution that goes with the radical:

sqrt(a^2 - x^2)

Answer 29

a*sinΘ

Question 30

What is the Trig Substitution that goes with the radical:

sqrt(a^2 + x^2)

Answer 30

a*tanΘ

Question 31

What is the Trig Substitution that goes with the radical:

sqrt(x^2 - a^2)

Answer 31

a*secΘ

Question 32

In regards to a triangle, define sinx.

Answer 32

sin = OPPOSITE/HYPOTINUSE

Question 33

In regards to a triangle, define cos.

Answer 33

cos = ADJACENT/HYPOTINUSE

Question 34

In regards to a triangle, define tan.

Answer 34

tan = OPPOSITE/ADJACENT

Question 35

1/tanx = ???

Answer 35

cotx