Use the fundamental identities and the given information to find the exact values of the remaining trigonometric functions of x.sin x = 
and cos x = 
A. tan x = - 
, csc x = 
, sec x = 
, cot x = - 2
B. tan x = 
, csc x = 
, sec x = 
, cot x = 2
C. tan x = 
, csc x = 
, sec x = 
, cot x = 2
D. tan x = 2, csc x = 
, sec x = 
, cot x = 
Answer: B
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Identify the vertex of the quadratic equation.f(x) = x2 + 8
A. (-8, 0) B. (0, -8) C. (8, 0) D. (0, 8)
Solve the problem.The annual population density of a species of insect after n years is modeled by a sequence. Suppose that the initial density of insects is 692 with r = 0.6. Write a recursive sequence that describes this data, where an denotes the insect density during year n.Find the terms a1 , a2 , a3 , ...., a5 . Round to two decimal places, if necessary.
A. a1 = 415.20, a2 = 249.12, a3 = 149.47, a4 = 89.68, a5 = 53.81 B. a1 = 692, a2 = 1107.20, a3 = 1771.52, a4 = 2834.43, a5 = 4535.09 C. a1 = 692, a2 = 692, a3 = 692, a4 = 692, a5 = 692 D. a1 = 692 , a2 = 415.20, a3 = 249.12, a4 = 149.47, a5 = 89.68
Provide an appropriate response.Write the standard form equation of the line that is perpendicular to -4x - 9y = -27 and passes through 
A. -9x + 4y = -61 B. -4x + 9y = -61 C. -9x - 4y = -27 D. -9x - 4y = -61
Convert to a logarithmic equation.43 = 64
A. 3 = log 4 64 B. 3 = log 16 4 C. 64 = log 4 3 D. 4 = log 2 64