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!
You're given the conversion formula of 1 yard = 3 feet and 1 foot = 12 inches so let's use that.
For red you're given three yards so because 1 yard = 3 feet, then you have
3 feet + 3 feet + 3 feet = 9 feet ( or 3ft * 3)
Now, to get inches, you multiply 9 by 12 to get 108 inches.
Since each bow requires 6 inches of ribbon you divide 108 by 6.
- Number of red bows: 18
- Inches of ribbon: 108
Yellow
Given: 54 inches
to convert to feet, you divide by 12 : 54/12 = 4.5 and to find yards you divide by 3: 4.5/3 = 1.5
to find the number of bows you divide 54 by 6: 9 bows
-Number of yellow bows: 9
-Yards of yellow ribbon: 1.5
Blue
Given: 24 bows
Because there's 6 inches for every bow 24*6 = 144 inches of ribbon
Convert to yards: 144/12 = 12 feet / 3 ft = 4 yards
-Inches of blue ribbon:144
-Yards of blue ribbon: 4
Answer:
cos ∅ = 15/17
Step-by-step explanation:
hypotenuse² = 15² +8² = 225 + 64 = 289
hypotenuse = √289 = 17
cos ∅ = 15/17 =
1) To get equation B from equation A, we will add a quantity to the left hand side of equation A. The correct option is A. Add/subtract a quantity to/from only one side
2) The equations are not equivalent. They do not have the same solution
<h3>Equations</h3>
From the question, we are to determine how we can get equation B from equation A
From the given information,
A. 5x - 2 + x = x - 4
B. 5x + x = x - 4
From above, we can observe that to get equation B from equation A, we will add 2 to the left hand side of equation A
That is
5x - 2 + 2 + x = x + 4 → 5x + x = x + 4
Hence, to get equation B from equation A, we will add a quantity to the left hand side of equation A. The correct option is A. Add/subtract a quantity to/from only one side
2) The equations are not equivalent. They do not have the same solution
Learn more on Equations here: brainly.com/question/21765596
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