K
Kwokuen
Unconfirmed Member
We've been tinkering with identities in my summer classes, and they're a bitch to work with. If anyone could lend me some help on verifying them, I'd appreciate it.
The first one is: (tan u + cot u)(cos u + sin u) = csc u + sec u
I believe that starting with the left side is the best option, so converting tan and cot to sines and cosines is the first step.
(sin u / cos u + cos u / sin u) (cos u + sin u)
At this point however, I'm lost. Do I square the left side, then factor it, or do I cross-multiply?
Some other fun-filled problems:
2. cot B - tan B / sin B + cos B = csc B - sec B
3. 1 / csc y - cot y = csc y + cot y
The first one is: (tan u + cot u)(cos u + sin u) = csc u + sec u
I believe that starting with the left side is the best option, so converting tan and cot to sines and cosines is the first step.
(sin u / cos u + cos u / sin u) (cos u + sin u)
At this point however, I'm lost. Do I square the left side, then factor it, or do I cross-multiply?
Some other fun-filled problems:
2. cot B - tan B / sin B + cos B = csc B - sec B
3. 1 / csc y - cot y = csc y + cot y