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Ostrovityanka [42]
3 years ago
7

How do I factor the algebraic expression below in terms of a single trigonometric function?

Mathematics
1 answer:
pickupchik [31]3 years ago
8 0
\cos x-\sin^2x-1\\/use\ \sin^2x+\cos^2x=1\to\sin^2x=1-\cos^2x/\\\\=\cos x-(1-\cos^2x)-1=\cos x-1+\cos^2x-1\\=\cos x-1+\cos^2x-1^2\\/use\ a^2-b^2=(a-b)(a+b)/\\\\=\cos x-1+(\cos x-1)(\cos x+1)\\=1(\cos x-1)+(\cos x+1)(\cos x-1)\\\\=\boxed{(\cos x-1)(1+\cos x+1)=(\cos x-1)(\cos x+2)}
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Graph the inequality x>-8 using the steps
Yuki888 [10]
Hey!


Your point on the graph would be ( -8, 0 ).

We shade the right side of the graph because the inequality shows that x is greater than -8.

*SEE THE GRAPH BELOW*

Hope this helps!


- Lindsey Frazier ♥

3 0
3 years ago
Help me please!!!!!!!!!!!
Leona [35]

Answer: 5x+4=-54 is the equation with the same value of x as 5/6*x + 2/3=-9

4 0
3 years ago
If f ( x ) = 1 3 x − 5 , what is f ( − 6 ) ?
RoseWind [281]

Answer:

-4

Step-by-step explanation:

by finding the exact value.

6 0
3 years ago
The answer is 5:6:20 but can someone explain how plz?
Leya [2.2K]
The ratio of red to green is 5:6 which means that for every 5 red cars, there are 6 green cars

The ratio of green to blue is 3:10 telling us that for every 3 green cars, there are 10 blue cars. 

The ratio 3:10 is equivalent to 6:20 after we multiply both parts by 2. This now says that for every 6 green cars, there are 20 blue cars.

------------------------------

Let's say we had 5 red cars, 6 green cars and 20 blue cars
Based on that info, we know that the ratio of red to green is 5:6
And the ratio of green to blue is 6:20 which reduces to 3:10

We don't reduce 6:20 to 3:10 however, since that would change the green count from 6 to 3. We want to keep the green count at 6.

So because there are 5 red cars, 6 green cars, and 20 blue cars in this example, and this example points to the proper ratios mentioned earlier, this means that the final answer is 5:6:20. This ratio cannot be reduced or simplified as there are no common factors (other than 1) for 5, 6, and 20.
4 0
2 years ago
34,776 is divisible by: 2 3 9 6 pick the right answers.
stealth61 [152]

\tt Step-by-step~exlpanation:

To find out the answer, we would have to try and divide all the numbers.

\tt \frac{34,776}{2}= 17,388\\ YES

\tt \frac{34,776}{3}= 11,592\\YES

\tt \frac{34,776}{9}=3,864\\ YES

\tt \frac{34,776}{6}= 5,796\\YES

\large\boxed{\tt Our~final~answer:~ALL ~(2,3,9,6)}

4 0
3 years ago
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