Trigonometry Answers

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

Graph the given function using the given values of x. Also use the graph to determine the domain and range of the function.

f(x)=5 ; x = -3, -2, -1, 0, 1, 2, 3

Graph the given function using the given values of x. Also use the graph to determine the domain and range of the function.

h(x)=|x-3| ; x = 0, 1, 2, 3, 4, 5, 6

Give the domain of the function.

22. g(x)=5/(x^2-25)

23. f(t)=3t^2+5t+2

24. h(x)=square root of 5x-2

Problem 21: 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}