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stellarik [79]
3 years ago
13

Verify the identity

e="csc^{2}x-csc^{2}xcos^{2}x=1" alt="csc^{2}x-csc^{2}xcos^{2}x=1" align="absmiddle" class="latex-formula">
Mathematics
1 answer:
Degger [83]3 years ago
3 0

Answer:

The answer to your question is below

Step-by-step explanation:

                               csc²x - csc²x cos²x = 1

Process

1.- Convert the second term to sines

                             csc²x - cos²x/sin²x = 1

2.- Convert cos²x/sin²x to cot²x

                             csc²x - cot²x = 1

3.- Solve for csc²x

                             csc²x = 1 + cot²x

We have verified it, because there is a Pythagorean identity which sets that

                              csc²x = 1 + cot²x

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Emily put toys into a square box that is 46 centimeters long. How many square centimeters is the bottom of the box?
Sedaia [141]
If the box is a square and the length of one side is 46cm, then the area of the box in square centimeters is 46 * 46 = 2116.
Final Answer:
d. 2116
Hope I helped :)
7 0
3 years ago
3/25 ÷.......... = 25/3​
Degger [83]

Answer:

1

Step-by-step explanation:

3 0
3 years ago
Write the product of -2 and (3 - 5a) as the sum of two factors
NARA [144]

-6 + 10a


-2x3=6 and -2x-5a is 10a

7 0
3 years ago
Write an equation for this word<br> sentence: one fifth of a number<br> equals 16.
horsena [70]

Answer: x / 5 = 16

x = 80

8 0
1 year ago
Read 2 more answers
Find the two smallest possible solutions to part 1a​
bixtya [17]
<h3>Answer: A. 5/12, 25/12</h3>

============================

Work Shown:

12*sin(2pi/5*x)+10 = 16

12*sin(2pi/5*x) = 16-10

12*sin(2pi/5*x) = 6

sin(2pi/5*x) = 6/12

sin(2pi/5*x) = 0.5

2pi/5*x = arcsin(0.5)

2pi/5*x = pi/6+2pi*n or 2pi/5*x = 5pi/6+2pi*n

2/5*x = 1/6+2*n or 2/5*x = 5/6+2*n

x = (5/2)*(1/6+2*n) or x = (5/2)*(5/6+2*n)

x = 5/12+5n or x = 25/12+5n

these equations form the set of all solutions. The n is any integer.

--------

The two smallest positive solutions occur when n = 0, so,

x = 5/12+5n or x = 25/12+5n

x = 5/12+5*0 or x = 25/12+5*0

x = 5/12 or x = 25/12

--------

Plugging either x value into the expression 12*sin(2pi/5*x)+10 should yield 16, which would confirm the two answers.

7 0
3 years ago
Read 2 more answers
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