Prove the identity.cot x sec4 x = cot x + 2 tan x + tan3 x
What will be an ideal response?
cot x sec4 x = cot x (1 + tan 2 x)2 = cot x (1 + 2 tan2 x + tan4 x) = cot x + 2 tan x + tan3 x.
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Answer the question or solve the problem.If a ? b, is it always true that -9a ? -9b? Explain.
What will be an ideal response?
Classify as true or false.For all natural numbers a and b, GCD(a, b)
.
A. True B. False
Perform the indicated operation. Assume that all variables represent nonnegative real numbers.
- 
+ 
A. 3x
B. 3
C. 23
D. 23x
Solve the problem.In a certain city, the cost of a taxi ride is computed as follows: There is a fixed charge of $2.10 as soon as you get in the taxi, to which a charge of $2.05 per mile is added. Find an equation that can be used to determine the cost, C, of an x-mile taxi ride, and use this equation to find the cost of a 4-mile taxi ride.
A. $10.30 B. $11.20 C. $10.18 D. $10.48