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mr_godi [17]
2 years ago
9

Show how to solve it step by step tan(x)cot(x)=1

Mathematics
1 answer:
nika2105 [10]2 years ago
3 0

There are two ways to confirm the identity.

Method 1

\tan(x)\cot(x) = 1\\\\\tan(x)\frac{1}{\tan(x)} = 1\\\\\frac{\tan(x)}{\tan(x)} = 1\\\\1 = 1 \ \ \checkmark\\\\

--------------------------------------------

Method 2

\tan(x)\cot(x) = 1\\\\\left(\frac{\sin(x)}{\cos(x)}\right)\left(\frac{\cos(x)}{\sin(x)}\right) = 1\\\\\frac{\sin(x)\cos(x)}{\cos(x)\sin(x)} = 1\\\\\frac{\sin(x)}{\sin(x)} = 1\\\\1 = 1 \ \ \checkmark\\\\

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3 years ago
A pancake recipe require 1 2/3 cups of flour to make 20 pancakes and you have 9 cups of flour.
Leokris [45]
<h2>Solution (a) :-</h2>

Quantity of flour needed to make 20 pancakes =

= 1 \frac{2}{3}  \:

=  \frac{3  \times 1 + 2}{3}

=  \frac{5}{3}  \: cups \: of \: flour

Then , number of pancakes that can be made from 1 cup of floor :-

20 \div  \frac{5}{3}

20 \times  \frac{3}{5}

\frac{60}{5}

= 12 \: pancakes .

Therefore , 12 pancakes can be made from 1 cup of floor .

<h2>Solution (b) :-</h2>

Number of pancakes that can be made with 1 cup of flour = 12 pancakes

Number of pancakes that can be made with 9 cups of flour :-

= 9 × 12

= 108 pancakes

Therefore , I can make 108 pancakes with 9 cups of flour .

<h2>Solution (c) :-</h2>

Yes , I have enough flour to make 100 pancakes . I say this because :-

With one cup of flour I can make = 12 pancakes

With 9 cups of flour I can make =

= 9 × 12

= 108 pancakes

As I can make 108 pancakes with 9 cups of flour , I can conclude that I have enough flour to make 100 pancakes .

3 0
3 years ago
PLEASE I JUST WANT A GOOD GRADE The spinner below shows 10 equally sized slices. Diane spun the dial 50 times and got the follow
Andreyy89

Part (a)

The experimental or empirical probability is based on the results shown in the table. There are 13 instances of grey out of 50 spins total. Therefore, we end up with an experimental probability of 13/50. This converts to the decimal form 0.26

<h3>Answer:  0.26</h3>

===============================================

Part (b)

Since each slice is of equal size, this means theoretically each slice should have the same chance of being landed on. We have 3 grey slices out of 10 total. The probability of landing on a grey space is 3/10 = 0.3

<h3>Answer:  0.3</h3>

===============================================

Part (c)

<h3>Answer: Choice A) </h3>

As the number of spins increases, we expect the experimental and theoretical probabilities to become closer, though they might not be equal.

The theoretical probability is locked to 0.3 the whole time (only the experimental probability changes). This is according to the Law of Large Numbers.

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Answer: 240

Step-by-step explanation:

You would multiply each of the sides to get the final answer of 240 (:

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In 36 days a girl spent 18 dollars. On average, what did she spend daily?
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