Provide an appropriate response.Prove that 
cos t = cos c for c ? 0. You may assume that 
sin t = 0 and 
cos t = 1.[Hint: let h = t - c and find 
cos(c + h) ]
What will be an ideal response?
Let h = t - c. Then
cos t =
cos(c + h)
= 
(cos c cos h - sin c sin h) Addition Identity
= cos c ? 
- sin c ? 
Main Limit Theorem
= cos c ? 1 - sin c ? 0
= cos c
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Solve.On a map, 1 in. represents 120 miles. How much does 
in. represent?
A. 72 mi B. 62 mi C. 200 mi D. 82 mi
Use dimensional analysis to convert the units. If necessary, round to the nearest tenth. 44 kg = 
lb
A. 111.8 lb B. 46.6 lb C. 19.8 lb D. 96.8 lb
Solve the problem.The half-life of an element is 4.4 × 1012 yr. How long does it take a sample of the element to decay to 
of its original mass? Use 
where A0 is the initial amount, T is the half-life, and t is the time. (Express results in scientific notation, rounded to the nearest hundredth.)
A. 2.79 × 1012 yr B. 5.82 × 1012 yr C. 9.82 × 1011 yr D. 4.32 × 1012 yr
Use mathematical induction to prove the following.8n > 1
What will be an ideal response?