Test #1 Formulas to Know

Question 1

csc

Answer 1

1/sin

Question 2

sec

Answer 2

1/cos

Question 3

Pythagorean Identities

Answer 3

sin2x + cos2x = 1
tan2x + 1 = sec2x
1+cot2x = csc2x

Question 4

sin2x

Answer 4

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

Question 5

cos2x

Answer 5

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

Question 6

sin(2x)

Answer 6

2sinxcosx

Question 7

cos(2x)

Answer 7

cos2x - sin2x

Question 8

trig sub forms

Answer 8

sqrt (a2 - x2) = asinx
sqrt (a2 + x2) = atanx
sqrt (x2 - a2) = asecx

Question 9

integral : 1 / sqrt ( a2 - x2)

Answer 9

arcsin ( a/x) + C

Question 10

integral : 1 / a2 + x2

Answer 10

arctan ( x/a) + C

Question 11

Definite Integral formula

Answer 11

f ( xi ) delta x

Question 12

delta x

Answer 12

b - a / n

Question 13

xi

Answer 13

a + I * delta x

Question 14

thing outside of radical

Answer 14

index

Question 15

summation formula for i

Answer 15

n(n+1)/2

Question 16

find how long something was in the air for

Answer 16

determine system, take derivative of gravity, find constant, take derivative again, find constant, solve for t

Question 17

how to find when maximum height

Answer 17

find critical points by SETTING FIRST DERIVATIVE TO 0! MUST VERIFY

Question 18

how to find maximum height

Answer 18

plug time in the air into position eq

Question 19

when was the ball going up / down

Answer 19

use interval created from total time and critical point, test which is positive and which is negative

Question 20

speed

Answer 20

absolute value of velocity