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finlep [7]
4 years ago
6

Bob keeps his cows and ducks in a barn. There are 13 animals in the barn and all together they have 34 legs. How many cows are t

here and how many ducks
Mathematics
1 answer:
Jlenok [28]4 years ago
5 0

Answer:

4 cows and 9 ducks

Step-by-step explanation:

X is cows and Y is ducks

X+Y= 13

4*X + 2*Y= 34

- X+Y= 13

-4*X + 2*Y= 34

4*X+ 2*Y= 34

2*X+ 2*Y= 26

2*X = 8

       X= 4

X+Y= 13

  Y= 13-4

    Y=9

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By using <em>algebra</em> properties and <em>trigonometric</em> formulas we find that the <em>trigonometric</em> expression \frac{1}{1 - \sin x} - \frac{1}{1 + \sin x} is equivalent to the <em>trigonometric</em> expression \frac{2\cdot \tan x}{\cos x}.

<h3>How to prove a trigonometric equivalence by algebraic and trigonometric procedures</h3>

In this question we have <em>trigonometric</em> expression whose equivalence to another expression has to be proved by using <em>algebra</em> properties and <em>trigonometric</em> formulas, including the <em>fundamental trigonometric</em> formula, that is, cos² x + sin² x = 1. Now we present in detail all steps to prove the equivalence:

\frac{1}{1 - \sin x} - \frac{1}{1 + \sin x}       Given.

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By using <em>algebra</em> properties and <em>trigonometric</em> formulas we conclude that the <em>trigonometric</em> expression \frac{1}{1 - \sin x} - \frac{1}{1 + \sin x} is equal to the <em>trigonometric</em> expression \frac{2\cdot \tan x}{\cos x}. Hence, the former expression is equivalent to the latter one.

To learn more on trigonometric equations: brainly.com/question/10083069

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