So here is how we are going to prove that (2(tan x - cot x) / (tan^2 x - cot^2 x} = sin (2x). Follow it step by step:
LS = 2(tanx−cotx)
------------------
tan^2−cot^2x
= 2(tanx−cotx)
----------------------
(tanx−cotx)(tanx+cotx)
= 2
-------------------
(tanx+cotx)
= 2
-----------------
Sin2x+cos2x
---------------- sinxcosx
= 2
-------------
1
------------
sinxcosx
= 2sinxcosx
= sin2x
I hope that is the answer that you are looking for. Let me know if you need more help next time. Thanks for posting your question here in brainly!
C, <span>Jupiter has about 300 times more mass, is the best and most correct answer. 300 * 6*10^24 = 1.8*10^27, about 2*10^27.</span>
Alice spends $3 per day, so for in a week and upto 5 weeks, Alice spend =$3*5*5 = $75
Betty spends $ 25 every 2 weeks, so for 5 weeks , she spends= 25+25+12.5
= $62.5
Cindy spends $ 75 per month, and on an average there are less then 5 weeks in a month . SO for 5 week, it must be greater than $75 .
So the order is
Cindy>Alice>Betty
