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4 years ago

Prove identity : (2 cos 2x)/(cot x – tan x) = sin 2x

Mathematics

1 answer:

Nimfa-mama [501]4 years ago

4 0

Step-by-step explanation:

(2 cos(2x)) / (cot x – tan x)

Multiply top and bottom by sin x cos x:

(2 cos(2x) sin x cos x) / (cos² x – sin² x)

Use double angle formula:

(2 cos(2x) sin x cos x) / (cos(2x))

2 sin x cos x

Use double angle formula:

sin(2x)

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You are making a welding fixture and must cut down a length of copper tubbing from 15 1/8 inches to 8 3/4 inches. If the leftove

fgiga [73]

Answer: 51/8 inches

Step-by-step explanation:

Since you must cut down the length of copper tubbing from 15 1/8 inches to 8 3/4 inches, the leftover piece will be:

15 1/8 - 8 3/4

Change the mixed fraction to improper fraction.

121/8 - 35/4

The LCM will be 8

( 121 - 70 )/8

51/8 or 6.375 inches

Therefore, the leftover piece will be 51/8 inches long

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4 years ago

In the wheel of woohoo game I'm taking a chance on a spinner with 20 outcomes if it lands on an even number I'll win a prize How

Aloiza [94]

Answer: The chance here to win is 50%.

Step-by-step explanation: You are taking a chance on a spinner with 20 outcomes. So, we will be considering natural numbers from 1 to 20.

And also, you will a prize if you land on an even number, so we will calculate the probability of getting an even number.

From 1 to 20, there are 10 odd numbers and 10 even numbers out of total 20 numbers.

Let us define the following events -

A = event of getting an even number

and

B = event of getting an odd number.

So, n(A) = 10 and n(B) = 10.

So, the probability of getting an even number is given by

$p(A)=\dfrac{n(A)}{n(A)+n(B)}=\dfrac{10}{10+10}=\dfrac{10}{20}=0.5=50\%.$

Thus, the required chance of winning a prize is 50%.

4 0

3 years ago

Read 2 more answers

A class is made up of 10 boys and 4 girls. Half of the girls wear glasses. A student is selected at random from the class. What

Andreas93 [3]

Hi!

Add the student together to get the number of students

10+4 = 14

Divide the girls by half

4/2 = 2

2/14 is the answer for this question.

<em>Hope this helps! Have an amazing day <3</em>

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4 0

4 years ago

Pls help I give brainliest

wel

Answer:

Step-by-step explanation:

it's (m+n-1) √p

hope this helps

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3 years ago

Candice needs a plumber and must decide between 2 companies. For a service visit, Company A charges $60 to send a plumber plus $

Ber [7]

Since they meet at the $105 mark the answer would be $105

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4 years ago

Prove identity : (2 cos 2x)/(cot x – tan x) = sin 2x​

Prove identity : (2 cos 2x)/(cot x – tan x) = sin 2x