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givi [52]
3 years ago
12

Does anyone know how to do this csc x ( sin x + cos x) = 1 + cot x ​

Mathematics
1 answer:
Dima020 [189]3 years ago
8 0

9514 1404 393

Explanation:

Use the identities ...

  csc(x) = 1/sin(x)

  cot(x) = cos(x)/sin(x)

__

  \csc(x)(\sin(x)+\cos(x))=1+\cot(x)\\\\\dfrac{1}{\sin(x)}(\sin(x)+\cos(x))=1+\cot(x)\\\\\dfrac{\sin(x)}{\sin(x)}+\dfrac{\cos(x)}{\sin(x)}=1+\cot(x)\\\\1+\cot(x)=1+\cot(x)

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Q4 Q14.) Solve the following exponential equation by expressing each side as a power of the same base and then equating exponent
sashaice [31]
Hello there!

Let me try this one out!

6 ^{x-6} =  \frac{1}{1296}

We can start by taking log of both sides

log(6 ^{x-6}) = log( \frac{1}{1296})

(x - 6)(log(6)) = log( \frac{1}{1296})

Since we are solving for x:

x - 6 =  \frac{log(1/1296)}{log(6)}

I used a calculator to help me solve the right part :)

x - 6 = - 4

Now we can add 6 on both sides

x - 6 + 6 = - 4 + 6

x = 2

I hope this helps! Let me know if you have any questions about the answer.
4 0
4 years ago
I ate 8/15 of the total amount of soup, then 140 ml of it remained in the bowl. how many milliliters of soup were there in the b
charle [14.2K]
Let t=original amount of soup

8/15 of t is 140
“Of” means multiply, “is” means equal to
Therefore
8/15t=140
t=140*15/8
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Hope this helped :)
4 0
2 years ago
Ronata is putting lace around the rectangular tablecloth with width of 52 and 1/3 inches and length of 72 and 2/3 inches. How mu
rodikova [14]

Answer:

3802 8/9

Step-by-step explanation:

So what you do is you  make 52 1/3 and 72 2/3 improper fractions like 157/3 and 218/3. Then you multiply and get 34218/9. Then you simplafiy and get 3802 8/9

3 0
3 years ago
What is 5x^2-27x+10 is greater than or equal to 0?
Firlakuza [10]

Answer: if its true or false i think its false

Step-by-step explanation: u cant square root a negative number.

8 0
3 years ago
F(x) = -7x - 19<br>g(x) = 0.75x + 4.25 <br>x=​
Xelga [282]

Answer:x=-14.75

Step-by-step explanation:

f(x) = -7x - 19=-19

g(x) = 0.75x + 4.25 =4.25

5 0
2 years ago
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