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MArishka [77]
3 years ago
8

Prove: sin^2x (sec^2x + csc^2x)=sec^2x

Mathematics
1 answer:
Vikki [24]3 years ago
4 0
Sin^2x (sec^2x + csc^2x) = sec^2x

I would convert the functions in the parentheses to their reciprocals.

sin^2x (1/cos^2x + 1/sin^2x) = sec^2x

Now distribute the sine.

sin^2x/cos^2x + sin^2x/sin^2x = sec^2x

Remember that sine divided by cosine is always tangent.

tan^2x + sin^2x/sin^2x = sec^2x

The remaining fraction is simply 1.

tan^2x + 1 = sec^2x

Use the Pythagorean identity to add the left side.

sec^2x = sec^2x

Q.E.D.
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Answer:

  7 7/8

Step-by-step explanation:

There are several ways to get there.

  2.25×3.5 = 7.875 = 7 7/8

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A typical graphing calculator will let you enter this problem directly, giving you a result either as a decimal, improper fraction, or a mixed number.

4 0
2 years ago
A new car depreciates 11% per year. if the new car is worth 23,882 today how much will it worth in 4 years
Andrei [34K]

Answer:

Well..

Step-by-step explanation:

Do 23,882 by 11, then do the answer of that problem divided by 11 and so on

8 0
3 years ago
Factor the given polynomial 2z-22z+48 completely.
____ [38]
The GCF here is 2 

2(z - 11z + 24)

i assume your question is wrong.. or you printed it inaccurately 
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7 0
3 years ago
Read 2 more answers
Identify the following parts of an introductory paragraph in the order that they should appear.
vodomira [7]

Answer:

1st-Hook

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3rd-context

Step-by-step explanation:

1- hook is to attract the reader, like a line to a song that is catchy! you want to draw the reader in!

2- Thesis statment

3- give context on the thesis statement! to further prove.

good luck

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3 years ago
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Answer:

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Step-by-step explanation:

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