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posledela
3 years ago
15

I know it’s one, but how do you solve to get to one?

Mathematics
1 answer:
Kisachek [45]3 years ago
3 0

Answer:

1

Step-by-step explanation:

1/15 + 7/30y + 1/2y = 4/5

2 + 7y + 15y = 24

2 + 22y = 24

22y = 24 - 2

22y = 22

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slava [35]
If we take the Pythagorean identity identity sin^2 x + cos^2 x = 1 then
                          <span>(cos^2 x + sin^2 x) / (cot^2 x - csc^2 x)
The numerator becomes 1 since addition order matters not.
                                                 1 / </span>(cot^2 x - csc^2 x)
If we factor the denominator out a negative
                                                1 / -(<span>csc^2 x - cot^2 x)
Consider </span><span>sin^2 x + cos^2 x = 1. Divide both sides by sin^2 x to get
                                         1 + cot^2 x = csc^2 x
Subtract both sides by cot^2 x to get 1 = csc^2 x - cot^2 x.
Replace the denominator
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For cos</span>^2 θ / sin^2 θ + csc θ sin θ, we use cscθ = 1/sinθ and cosθ/sinθ = cotθ so
                                = cos^2 θ / sin^2 θ + 1
                                = cot^2 θ + 1
We use 1 + cot^2 <span>θ = csc^2 </span>θ to simplify this to
                              = csc^2 θ

Answers:         -1
                          csc^2 θ
5 0
3 years ago
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