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VladimirAG [237]
3 years ago
10

A soup recipe calls for 6 cups of broth a chef will triple this recipe he wants to know how many quarts of broth he will need

Mathematics
1 answer:
Vikki [24]3 years ago
8 0

Answer: 4.5 quarts

Step-by-step explanation:

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Cos (90-theta) • cosec90-theta) =tano. How?​
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Answer:

<u>______________________________________________________</u>

<u>TRIGONOMETRY IDENTITIES TO BE USED IN THE QUESTION :-</u>

For any right angled triangle with one angle α ,

  • \cos (90 - \alpha  ) = \sin \alpha  or  \sin(90 - \alpha ) = \cos\alpha
  • cosec \: (90 - \alpha  ) = \sec\alpha   or  \sec(90 - \alpha ) = cosec\:\alpha

<u>SOME GENERAL TRIGNOMETRIC FORMULAS :-</u>

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<u>______________________________________________________</u>

Now , lets come to the question.

In a right angled triangle , let one angle be α (in place of theta) .

So , lets solve L.H.S.

\cos (90 - \alpha ) \times cosec(90 - \alpha )

=> sin\alpha  \times \sec\alpha

=> \sin\alpha  \times \frac{1}{\cos\alpha }

=> \frac{\sin\alpha }{\cos\alpha }

=> \tan\alpha = R.H.S.

∴ L.H.S. = R.H.S. (Proved)

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Step-by-step explanation:

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We need to evaluate the value of fraction \frac{j}{4}.

We also given j=12.

In order to evaluate the value of fraction \frac{j}{4}, we need to plug j=12.

Plugging j=12, we get

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We have 12 in numerator and 4 in denominator.

We always divide top number by bottom number.

So, we need to divide 12 by 4.

On dividing 12 by 4 we get 3.

<h3>Therefore, \frac{j}{4} = 3.</h3>
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