PRE CAL C UL US e Second Part Midterm Review
NAME
it LOiM-k C6053;
Half Life
1. A dinosaur bone was found to have 80 g of Carbonl4 which has a halflife of 5570 yrs. If the bone
originally contained 200g of the isotope, determine the age of the bone
PRECALCULUS
Identities Sheet II
I.
Simplify
1.
sec 2 q - 1
sec 2 q
2.
II.
NAME _
Date _ Per _
tan 2 a cot 2 a
+
sec 2 a csc2 a
Prove the following. Work on one side only.
3. sin q csc q +tan q cot q =2
4. cos 2 f +cot 2 f +sin 2 f =csc2 f
5. ( 1 +cos Y )
Precaiculus Seq/Series Test Review Name
SHORT ANSWER. Write the word or phrase that best completes each statement or answers the question.
Write out the first five terms of the sequence.
1) anznS
2) an=4n-2
ac :n-+-2
11
Find the first six terms of
PRECALCULUS
Identities Sheet I
I.
NAME _
Date _ Per _
Simplify
1. cos q *csc q =
2. sec a *cot a *sin a =
3. sin x ( csc x - sin x ) =
sec f
4. csc f =
II.
Prove the following. Work on one side only.
5.
tan 2 q +1
=sec q
sec q
6. sin 2 f +tan 2 f +cos 2 f
APPLICATIONS OF SEQUENCES/ SERIES
Biggest job is to decide are you adding each time or
multiplying. Once you decide use formulas.
Example 1: The corner section of a football stadium has 15
seats in the rst row and 40 rows in all. Each successive
row con
r PRECALCULUS- I NFLth
Harmonie Motioanomeworlc' Sheet 9 . Per Date
I
i. A weight is hanging at rest horn-a spring. _'At r= 0,'the weight is pulled down
3cm and released; Itlmakes' 4 fall cycles every second. Write a sine equation
modeling the motion of