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1) Given that cosec x + cot x = 3, evaluate the following :
(i) cosec x - cot x
(ii) cos x

2) On the same diagram, sketch the graph of Y = I 3 sin 3/2 x I and
Y = 1 + (6x/5phi) for 0 < x < 2x
Hence, state the number of solution in this interval for the equation
I 3 sin 3/2x I = 1 + (6x/5phi)
Find the functional values f(-5), f(1), and f(3) for the compound function.

f(x)={ |x-5|, if x is less than or equal to 1} { 1/(x+1), if x is greater than 1}
Given cscθ = 3, find cos(θ).
Solve the equation: |3 sin 3/2 x| = 1 + 6x/5π
Given that cosec x + cot x = 3, evaluate the following:
(i) cosec x - cot x
(ii) cos x
The range of function f(x) = | 3x-8 |
The angle of elevation of the top of a tree is found to be 33° at one point and 59° at a top a point 31 ft. nearer the tree. How high is the tree if both observation points and the base of the tree are in the same horizontal plane?
If f(x) = int(x), find the given functional value.

f(-14.321)
Determine if the given function is even, odd or neither.

33. f(x)=3x^4-2x^2

34. f(x)=x^3+x
Graph the given function using the given values of x. Also use the graph to determine the domain and range of the function.

g(x)=x^3+2 ; x = -2, -1, 0, 1, 2
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