Establish the identity.sin ?[sin ? + sin(5?)] = cos(2?)[cos(2?) - cos(4?)]
What will be an ideal response?
sin ?[sin ? + sin(5?)] = sin ?[2 sin(3?) cos(2?)] = 2 cos(2?)[sin ? sin(3?)] 
= cos(2?)[cos(2?) - cos(4?)]
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The graph of a piecewise-defined function is given. Write a definition for the function. 
A. 
B. 
C. 
D.
f(x) = 
Use the formula A = P(1 + rt) to find the indicated quantity.Allan borrowed $5500 from his father to buy a car. He repaid him after 8 months with interest of 7% per year. Find the total amount he repaid.
A. $5724.58 B. $5885.00 C. $256.67 D. $5756.67
Use the product, quotient, and power rules of logarithms to rewrite the expression as a single logarithm. Assume that all variables represent positive real numbers.
logax + 
loga y
A. 
loga xy
B. loga (x2/7 y1/5)
C. loga (y2/35)
D. loga (xy2/35)
Solve the problem.Scot and Elizabeth recently built a rectangular garden measuring 40 feet by 50 feet. They want to add a paverstone walkway of uniform width around all sides of the garden. How wide can they make the walkway if they purchased enough stones to cover 1000 square feet?
A. 50 ft B. 10 ft C. 62.5 ft D. 5 ft