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fiasKO [112]
3 years ago
6

Simplify cosx ( tanx+cotx)

Mathematics
1 answer:
Soloha48 [4]3 years ago
4 0
The first step to solving this is to use tan(t) = \frac{sin(t)}{cos(t)} to transform this expression.
cos(x) × ( \frac{sin(x)}{cos(x)} + cot(x) )
Using cot(t) = \frac{cos(x)}{sin(x)},, transform the expression again.
cos(x) × ( \frac{sin(x)}{cos(x)} +  \frac{cos(x)}{sin(x)} )
Next you need to write all numerators above the least common denominator (cos(x)sin(x)).
cos(x) × \frac{sin(x)^{2} + cos(x)^{2}  }{cos(x)sin(x)}
Using sin(t)² + cos(t)² = 1,, simplify the expression. 
cos(x) × \frac{1}{cos(x)sin(x)}
Reduce the expression with cos(x).
\frac{1}{sin(x)}
Lastly,, use \frac{1}{sin(t)} = csc(t) to transform the expression and find your final answer.
csc(x)
This means that the final answer to this expression is csc(x).
Let me know if you have any further questions.
:)
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R = -5, s = 2, t = 7, u = -1 <br><br><br> 5r - 4
Doss [256]
5r-4 and r=-5 so it would be 5(-5)=-20, then -4 , so is is -24
8 0
2 years ago
The ice cream man just ended his shift for the day. Let 1/2x^2 6/11x + 8 represent the amount of chocolate ice cream bars he sol
saveliy_v [14]

Answer:

A and D

Step-by-step explanation:

Total ice cream bars sold = sum of chocolate sold , vanilla and strawberry ice-creams sold.

=(1/2)x2 + (6/11)x + 8 + (5/9)x2 + (2/3) +(1/3)x2 + 4x +(4/3) (Given in the question)

=(25/18)x2 + (50/11)x + 10 (Adding terms corresponding to x2,x ,constant respectively)

Difference in chocolate and strawberry bars =[ (1/2)x2 + (6/11)x + 8] - [(1/3)x2 + 4x +(4/3)]

= (1/6)x2 - (38/11)x +(20/3)

So, the correct options are A and D

4 0
3 years ago
Kelly runs a restaurant that sells two kinds of desserts. Kelly knows the restaurant must make at least 25 dozen and at most 45
MissTica

Answer:

  (c, m) = (45, 10)

Step-by-step explanation:

A dozen White Chocolate Blizzards generate more income and take less flour than a dozen Mint Breezes, so production of those should clearly be maximized. Making 45 dozen Blizzards does not use all the flour, so the remaining flour can be used to make Breezes.

Maximum Blizzards that can be made: 45 dz. Flour used: 45×5 oz = 225 oz.

The remaining flour is ...

  315 oz -225 oz = 90 oz

This is enough for (90 oz)/(9 oz/dz) = 10 dozen Mint Breezes. This is in the required range of 2 to 15 dozen.

Kelly should make 45 dozen White Chocolate Blizzards and 10 dozen Mint Breezes: (c, m) = (45, 10).

__

In the attached graph, we have reversed the applicable inequalities so the feasible region shows up white, instead of shaded with 5 different colors. The objective function is the green line, shown at the point that maximizes income. (c, m) ⇔ (x, y)

8 0
3 years ago
What is 12/24, 3/30, 10/8, 34/20, and 14/8 in lowest term and in percent form
kirza4 [7]
To find a fraction's lowest term, just simplify them and divide to find the decimal form.
12/24 = 1/2, 0.5
3/30 = 1/10, 0.1
10/8 = 5/4, 1.25
34/20 = 17/10, 1.7
14/8 = 7/4, 1.75

Finished!
3 0
3 years ago
3,000 is 1/10 of?-<br><br>300<br><br>300,000<br><br>3,000<br><br>30,000​
NeX [460]

Answer:

30,000​

Step-by-step explanation:

3,000 times 10 is 30,000, therefore 30,000/10=3,000

7 0
2 years ago
Read 2 more answers
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