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Marat540 [252]
3 years ago
10

If tan 0= -(3)/(8), which expression is equivalent to cot 0 ?

Mathematics
2 answers:
IgorLugansk [536]3 years ago
8 0
Tan x = sin x / cos x

cot x = cos x/ sin x

We can see that tan and cot are reciprocal.

So, if tan(O)  = -(3)/(8), then cot(O) = - (8)/3.
DochEvi [55]3 years ago
8 0
<h2>Answer:</h2>

Hence, the answer is:

      \cot O=\dfrac{1}{\dfrac{-3}{8}} or  \cot 0=\dfrac{-8}{3}

<h2>Step-by-step explanation:</h2>

We know that the tangent trignometric function and the cotangent trignometric function is given by:

         \tan x=\dfrac{1}{\cot x}

i.e. the tangent function and the cotangent function are inverse of each other.

We are given tangent of an angle O as:

\tan 0=\dfrac{-3}{8}

Hence, we have:

\cot O=\dfrac{1}{\tan O}\\\\i.e.\\\\\cot O=\dfrac{1}{\dfrac{-3}{8}}\\\\i.e.\\\\\cot O=\dfrac{8}{-3}\\\\i.e.\\\\\cot 0=\dfrac{-8}{3}

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8 0
3 years ago
You manage an ice cream factory that makes two flavors: Creamy Vanilla and Continental Mocha. Into each quart of Creamy Vanilla
Mars2501 [29]

Answer:

You should make 250 quarts of Creamy Vanilla and 200 of Continental Mocha to use up all the eggs and cream.

Step-by-step explanation:

This problem can be solved by a first order equation

I am going to call x the number of quarts of Creamy Vanilla and y the number of quarts of Continental Mocha.

The problem states that each quart of Creamy Vanilla uses 2 eggs and each quart of Continental Mocha uses 1 egg. There are 700 eggs in stock, so:

2x + y = 700.

The problem also states that each quart of Creamy Vanilla uses 3 cups of cream and that each quart of Continental Mocha uses 3 cups of cream. There are 1350 cups of cream in stock, so:

3x + 3y = 1350

Now we have to solve the following system of equations

1) 2x + y = 700

2) 3x + 3y = 1350

I am going to write y as function of x in 1) and replace it in 2)

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You should make 250 quarts of Creamy Vanilla

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