you need to know the following1) Prove this identity:

(cosecx + cotx)(cosecx - cotx) = (cotx)(tanx)

I started with LHS = (cosecx + cotx)(cosecx - cotx)

but don't know how to continue because these really confuse me.

The most obvious way to do this is to just start simplifying both sides of the equation. Post again if you get stuck.

the trick to this type of question is dividing by the cos part to get a tan, in this case2) Solve the following equation for theta (θ) over the given domain:

√3 sin 2θ = cos 2θ

Domain: 0 < θ < 360

Use3) Find all solutions in the interval -180 ≤ x ≤ 180 to the equation cosx + (sin^2)x = 5/4

I'm not sure what you are doing here. To find the corners of the triangle you need to find the points where the lines intersect. You do this by taking each of the 3 possible pairs of lines and solving them simultaneously for x and y. To get the area, you probably are expected to use base X height/2. This is probably most easily done by finding the distances along each side and using Pythagoras' theorem to find the height.4) The sides of a triangle are given by the lines:

- 2x - y + 3 = 0

- x - 2y - 3 = 0
Find the area of this triangle.

- 2x + y - 11 = 0

I started off by saying for each equation:

when x = 0

y = ?

[I'd substitute x = 0 into every equation]

and I also did when y = 0, x = ? [by substituing y = 0 into all equations]

i got the points (-3/2, 1), (3, 0) and (11/2, 11)

Are the points that i got right ? And then i plotted the points which gave me a triangle. Now what do i do ?