So here is how we are going to prove that <span>(2(tan x - cot x) / (tan^2 x - cot^2 x} = sin (2x). Follow it step by step:
LS = </span><span><span>2(tanx−cotx)
</span><span> ------------------
ta<span>n^2</span>−co<span>t^2</span>x
= </span></span>2(tanx−cotx<span>)
----------------------
</span><span>(tanx−cotx)(tanx+cotx)
= 2
-------------------
</span><span>(tanx+cotx)
= 2
-----------------
S</span>i<span>n2</span>x+co<span>s2</span><span>x
----------------</span><span> sinxcosx
= 2
-------------
1
------------
</span> sinxcos<span>x
</span> = 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:
The answer is: 5(x+8)(-x+1)
Step-by-step explanation:
To factorize, you can take the FACTORS of 5x^2 and 8. Once you factor them, multiply them cross ways, like CROSS MULTIPLICATION. Moreover, if you do this and get -3x, then you have the factorization. For example
-5x^2 -3x + 8
5x 8
-x 1
Then cross multiply to get: -8x + 5x= -3x (this is correct)
Now you can find the factorization by just going across: (5x+8)(-x+1)
It is basically guess and check.
The existence proof of the empty set is an absolute gem
Answer:
12.50h
Step-by-step explanation:
Each hour costs 12.50 to rent.
So, if you wanted to find a total cost, you would have to multiply 12.50 by the number of hours the boat was rented for.
12.50*h
12.50h
Hope this helps! :)
The confidence interval is from 0.2191 to 0.2649, given by
.
The z-score we need is found by first subtracting the confidence level from 1:
1 - 0.95 = 0.05
Divide that by 2:
0.05/2 = 0.025
Subtract that from 1:
1 - 0.025 = 0.975
Look this up in the middle of a z-table (http://www.z-table.com) and we see that the z-score is 1.96.
Now our confidence interval is given by
