There are 4 questions that i need help in and if you can even answer one of them that would be great ! Plus the level of these questions are just highschool. [Im in my last year of highschool]. I'd truly appreciate the help :)
1) 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.
2) Solve the following equation for theta (θ) over the given domain:
√3 sin 2θ = cos 2θ
Domain: 0 < θ < 360
3) Find all solutions in the interval -180 ≤ x ≤ 180 to the equation cosx + (sin^2)x = 5/4
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 ?