Rewrite the expression as the sine, cosine, or tangent of a double angle. Then find the exact value of the trigonometric expression without the use of a calculator.
A. -
B.
C. -
D.
Answer: B
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Solve the problem.The total individual income tax collected by the tax collecting body of a country is a function of the number of people working, their income, and the tax rates. It has increased each year since 1970. The table below shows the individual income tax collected (in billions) for the time period between 1970 and 1995. Between 1980 and 1990, the average rate of change in the amount of tax collected is $25.7 billion per year. Interpret this average rate of change.
A. Between 1980 and 1990, the amount of tax collected increased at a rate of $25.7 billion per year. B. Between 1980 and 1990, the amount of tax collected increased by $25.7 billion. C. In each year between 1980 and 1990, the amount of tax collected increased by $25.7 billion. D. Between 1980 and 1990, the amount of tax collected decreased at a rate of $25.7 billion per year.
Evaluate the improper integral.
A. 42(ln 42 - 1)
B.
C.
D. 42(ln 42 - 2)
Match the property with the example of it.Associative property
A. (3 + 4) + 0 = (3 + 4) B. (3 + 4) + 7 = (4 + 3) + 7 C. (3 + 4) + 7 = 3 + (4 + 7) D. (3 + 4) + 7 = 3 + (4 + 3)
Use the change-of-base formula and a calculator to evaluate each logarithm.log37 + log811
A. 2.0425 B. 2.9244 C. 1.4318 D. 2.4355