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how do u know which triangle to construct?

also with this i tried 5C1 / 5C4 * 4! but apparently its wrong cause the answer is 125 and this idk where to start tbh

this is exactly how i did it xD but the answer is 48 so im pretty confused still thank u though!

eight people sit around a table. If the eight people consist of four sets of twins, how many arrangements are possible if each twin must sit opposite each other?

Also, im also unsire why this is B:

how would you do this?

theres a dark mode?

wait i thought it was pi/4 I'm blind ahhaha

oh bruh thats such an easy proof i just think of compound angle straight away cause like tanpi/4 is just 1 its so tempting lol

for this question the anser is: could someone explain why?

ye, where do u go from there tho to isolate x or do u keep it like that?

also this q (its a proof)

how do u do this? I got -2 < tanx < 3 but idk how to go from there given the domain 0<x<360 like do i just arctan everything and yeh or what else do i do if i arctan i got 0<x<71deg 34'. I'm like super unsure about it tho

Thanks it helped. What about the other question? I'm still kinda confused lol

How would you do these?

How would you sketch the graph? Usually for motors or generators i sketch a flux vs time graph then take the negative derivative but idk how to do that with this example..

how would you do 7b? idk how to use the induction hypothesis to get anywhere

Fc is a fancy way of expressing the net force. At the bottom, there is weight force (Fg) downwards and tension (Ft) upwards. Hence Fc = Ft - Fg. Thus, Ft = Fc + Fg. At the top, the net force (Fc) is Fg + Ft as both are in the same direction. Hence Fc = Fg + Ft. Thus, Ft = Fc - Fg. You're...