next set is
1) 4 cot 4x = 2 cot 2u - 2 tan 2u
2) cos 4u = cos^2 2u - sin^2 2u
3) 4csc2x = 2csc^2x tan x
edit: I got these worked out, thanks for the help!
Take home stuff due tomorrow...the applied trig I understand...heights of mountains and such, but the theory is lost on me. The following are all questions from the assignment to which I do not know the answers. Any help would be appreciated. Thank you in advance.
Prove the identity.
1) ([5(csc^2)x] + 4cscx - 1)/[(cot^2)x] = [5cscx-1]/[cscx-1]
2) cosx/secx-1 - cosx/secx+1 = 2cosx/tan^2x
3) csc^4 - cot^4x = csc^2x + cot^2x
4) cos[x+[y-(pi/2)]] = sin(x+y)
I'm just going to post them all even while I still work to figure this out.
write the expression as the sine, cosine, or tan of an angle...(multiple choice)
^This one I actually tried to solve using the calculator, but I couldn't get it to work out for me.
Find all solutions to the given equation in interval [0,2pi]
A) cosx = sin2x
B) cos^2[x/2] =cos^2x
Again, any help would be appreciated...I'm LOST.
edit: last problem, I promise...this honestly seems like it should be basic stuff, but my brain is fried.
position of a weight on a spring is s(t) = -9cos 8 pi t inches after t seconds. What is max height the weight reaches above the equilibrium position and when does it reach said max height?
Thank you! I'm going to try the ones in my second post based on what you showed, does anyone have any thoughts on the word problems in post #3?
Also, it wasn't really explained to me, but what is the math formula represented by tan/sin/cos? What I mean is; when I hit one of those keys, what is the calculator actually doing? I think that will help me understand. Thanks again!