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!
Answer:
$70.59
Step-by-step explanation:
- 15% of $83.05 = 12.4575
- $83.05 - $12.4575 = $70.59
I hope this helps!
Answer:
36 or to be exact: 36.0018
Step-by-step explanation:
here are the numbers of 15 people ate out last month. 6,5,5,3,5,4,3,6,4,3,6,5,3,7,6 find the modea of this data set
Taya2010 [7]
Answer: 3 and 5
Step-by-step explanation: The mode is the number that appears most frequently in a data set.
Although it's optional I recommend writing these integers from least to greatest so it will be easier to see what number occurs most frequently.
Notice that there are two numbers (3 and 5) that appear most often (and the same number of times) which means the data set has two modes. When a data set has two modes, this is called bimodal.
35% of a number (say, x) is 35% * x.
35% can be written as a fraction, too. % means /100, so 35% is 35/100 which simplifies to 7/20.
So, 35% * x = 7/20 * x