Test 1

Question 1

d/dx sinx

Answer 1

cosx

Question 2

d/dx cosx

Answer 2

-sinx

Question 3

d/dx tanx

Answer 3

sec^2x

Question 4

d/dx cotx

Answer 4

-csc^2x

Question 5

d/dx secx

Answer 5

secx tanx

Question 6

d/dx cscx

Answer 6

-cscx cotx

Question 7

d/dx arcsinx

Answer 7

1/srqt1-x^2

Question 8

d/dx arccos

Answer 8

-1/sqrt1-x^2

Question 9

d/dx arctan

Answer 9

1/x^2+1

Question 10

cot(theta)

Answer 10

adj/opp

Question 11

Sec(theta)

Answer 11

hyp/adj

Question 12

Sin(theta)

Answer 12

opp/hyp

Question 13

Cos(theta)

Answer 13

adj/hyp

Question 14

Tan(theta)

Answer 14

opp/adj

Question 15

Csc(theta)

Answer 15

hyp/opp

Question 16

Csc(x)

Answer 16

1/sin(x)

Question 17

Sec(x)

Answer 17

1/Cos(x)

Question 18

Cot(x)

Answer 18

1/tan(x) or cos(x)/sin(x)

Question 19

Sin(x)

Answer 19

1/csc(x)

Question 20

Cos(x)

Answer 20

1/sec(x)

Question 21

tan(x)

Answer 21

1/cot(x) or sin(x)/cos(x)

Question 22

sin^2(x) +cos^2(x) =

Answer 22

1

Question 23

x^2+y^2=

Answer 23

r^2

Question 24

1+cot^2(x)=

Answer 24

csc^2(x)

Question 25

Sin^2(x)=

Answer 25

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

Question 26

cos^2(x)=

Answer 26

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

Question 27

sec^2(x)-tan^2(x)=

Answer 27

1

Question 28

tan^2(x)+1

Answer 28

sec^2(x)

Question 29

tan^2(x)

Answer 29

sec^2(x)-1

Question 30

for SQRT a^2+x^2 use

Answer 30

atan(theta)

Question 31

for SQRT a^2-x^2 use

Answer 31

asin(theta)

Question 32

For SQRT x^2-a^2 use

Answer 32

asec(theta)