Question 4:

(a) Solve the following logarithmic equation: + = 3

(b) Suppose that () = ( + 5) () = ( 1) (i) Solve ( + )() = 3 (ii) Solve () = ().

Question 5:

(a) Is the cosecant function even, odd, or neither? Is its graph symmetric? With respect to what?

(b) Is the cosine function even, odd, or neither? Is its graph symmetric? With respect to what?

(c) Find the exact value of: cos 1 + cos 2 + cos 3 + ... ... ... + cos 358 + cos 359

Question 7:

(a) Draw the graph of the following function. Be sure to label key points and show at least two cycles. Use the graph to determine the domain and the range of the function. = (( / )* )

(b) Draw the graph of the following function. Be sure to label key points and show at least two cycles. Use the graph to determine the domain and the range of the function. = (( / )* )

Question 8:

(a) Find the exact value for the following expression: csc(tan -1*(1/3))

(b) Find the exact value for the following expression: -1(-root3/3)

Question 9:

Suppose () =

(a) Find ( pai/6 ). What point is on the graph of f ?

(b) Assuming f is one-to-one function, use the result of part (a) to find a point on the graph of invest-1.

(c) What point is on the graph of = 2(x-(pai/6) if x=(pai/6) ?

Question 10: Given, () = 1 + 2 ( + 3)

(a) Find the domain of f. (b) Graph f. (c) From the graph, determine the range and any asymptotes of f. (d) Find -1, the inverse of f. (e) Find the domain and the range of -1 . (f) Graph -1 .