TEST 1 REVIEW

Question 1

Pythagorean Identity: Ways to write sin^2(x)+cos^2(x)=1

Answer 1

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

Question 2

Pythagorean Identity: Ways to write tan^2(x)+1=sec^2(x)

Answer 2

1. sec^2(x)-1=tan^2(x)

Question 3

Pythagorean Identity: Ways to write 1+cot^2(x)=csc^2(x)

Answer 3

1. cot^2(x)=csc^2(x)-1

Question 4

Double Angle Identity: sin(2x)=

Answer 4

1. 2sinxcosx

Question 5

Double Angle Identity: sinxcosx=

Answer 5

1/2 (sin(2x))

Question 6

Double Angle Identity: cos(2x)=

Answer 6

1. 1-2sin^2(x)
2. 2cos^2(x)-1

Question 7

Double Angle Identity: sin^2(x)=

Answer 7

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

Question 8

Double Angle Identity: cos^2(x)

Answer 8

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

Question 9

Integral x^n=

Answer 9

Power Rule !!! x^n+1/n+1 + c

Question 10

Integral 1/x=

Answer 10

ln|x|+ c

Question 11

Integral e^x=

Answer 11

Guess what ! e^x + c

Question 12

Integral b^x

Answer 12

(b^x)/(ln(b)) + c

Question 13

Integral sinx

Answer 13

-cosx + c

Question 14

Integral sec^2(x)

Answer 14

tanx + c

Question 15

Integral secxtanx

Answer 15

secx + c

Question 16

Integral secx

Answer 16

ln|secx+tanx| + c

Question 17

Integral tanx

Answer 17

ln|secx|+ c

Question 18

Integral 1/(x^2 + 1)

Answer 18

arctanx + c

Question 19

Unit Circle Cos

Answer 19

1,0,-1,0

Question 20

Integral cos^2x

Answer 20

x/2 +sin(2x)/4

Question 21

TRIG SUB radical x^2-a^2

Answer 21

a at the bottom
x as a hypotenuse
radical as a leg
x= a sec theta

Question 22

TRIG SUB x^2+a^2

Answer 22

a is bottom
radical is hypotenuse
x is leg
x = tan theta

Question 23

TRIG SUB a^2-x^2

Answer 23

radical is bottom
a is hypotenuse
x is leg

Question 24

Integral cos dx

Answer 24

sinx+c