ap calc formula quiz 1

Question 1

tan x

Answer 1

sin x / cos x

Question 2

sec x

Answer 2

1 / cos x

Question 3

cot x

Answer 3

1 / tan x

Question 4

csc x

Answer 4

1 / sin x

Question 5

sin^2 x + cos^2 x=

Answer 5

1

Question 6

sec^2 x - tan^2 x=

Answer 6

1

Question 7

2sinxcosx

Answer 7

sin2x

Question 8

cos^2 x - sin^2 x=

Answer 8

cos2x

Question 9

sin(-x)=

Answer 9

-sinx

Question 10

cos(-x)=

Answer 10

cosx

Question 11

tan(-x)=

Answer 11

-tanx

Question 12

sin(A+B)=

Answer 12

sin(A)cos(B)+sin(B)cos(A)

Question 13

cos(A+B)

Answer 13

cos(A)cos(B)-sin(A)sin(B)

Question 14

sin(A-B)

Answer 14

sin(A)cos(B)-sin(B)cos(A)

Question 15

cos(A-B)

Answer 15

cos(A)cos(B)+sin(A)sin(B)

Question 16

distance formula

Answer 16

sqrt (x2-x1)^2+(y2-y1)^2

Question 17

midpoint formula

Answer 17

((x1+x2/2) + (y1+y2/2))

Question 18

In(ab)=

Answer 18

In(a) + In(b)

Question 19

In(a/b)

Answer 19

In(a) - In(b)

Question 20

In(a^n)=

Answer 20

nIn(a)

Question 21

In(1/a)

Answer 21

-In(a)

Question 22

|x|=

Answer 22

x if x>=0 or -x if x<0

Question 23

π/6

Answer 23

(√3π/2, 1/2)

Question 24

π/4

Answer 24

(√2/2, √2/2)

Question 25

π/3

Answer 25

(1/2, √3π/2)

Question 26

0/2π

Answer 26

(1,0)

Question 27

π/2

Answer 27

(0,1)

Question 28

π

Answer 28

(-1,0)

Question 29

7π/6

Answer 29

(-√3π/2, -1/2)

Question 30

5π/4

Answer 30

(-√2/2, -√2/2)

Question 31

3π/2

Answer 31

(0,-1)

Question 32

4π/3

Answer 32

(-1/2, -√3π/2)

Question 33

5π/3

Answer 33

(1/2, -√3π/2)

Question 34

7π/4

Answer 34

(√2/2, -√2/2)

Question 35

11π/6

Answer 35

(√3π/2, -1/2)

Question 36

tan (π/6)

Answer 36

√3/3

Question 37

tan (π/4)

Answer 37

1

Question 38

tan (π/3)

Answer 38

√3

Question 39

tan (0 or 2π or π)

Answer 39

0

Question 40

tan (π/2 or 3π/2)

Answer 40

undefined

Question 41

hint for tan

Answer 41

so quadrants 1 and 3 are all positive tan values, and quadrants 2 and 4 are negative tan values! search up “unit circle tan” and you can see what i mean