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)
cos(pi/2)cos(pi/11)+sin(pi/2)sin(pi/11)
^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?
Thanks,
- JM
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!
- JM