Verify 2+2cot^2x=2cotxsecxcscx

Answers

Answer 1

Answer:

$2+2\cot^2x=2\cot x\sec x\csc x\n\nL=2(1+\cot^2x)=2\left(1+(\cos^2x)/(\sin^2x)\right)=2\left((\sin^2x)/(\sin^2x)+(\cos^2x)/(\sin^2x)\right)\n\n=2\left((\sin^2x+\cos^2x)/(\sin^2x)\right)=2\left((1)/(\sin^2x)\right)=(2)/(\sin^2x)\n\nR=2\left((\cos x)/(\sin x)\right)\left((1)/(\cos x)\right)\left((1)/(\sin x)\right)=2\left((1)/(\sin x)\right)\left((1)/(1)\right)\left((1)/(\sin x)\right)\n\n=2\left((1)/(\sin^2x)\right)=(2)/(\sin^2x)$

$\boxed{L=R}$

$Used:\n\n\cot x=(\cos x)/(\sin x)\n\n\sin^2x+\cos^2x=1\n\n\sec x=(1)/(\cos x)\n\n\csc x=(1)/(\sin x)$

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Is 1.03 the same as 1.30?

Answers

No, 1.03 is a smaller value thatn1.30
look at the digits behind the decimals.
03 and 30. which one's bigger? 30
so 1.30 is greater than 1.03

On Friday, Andre biked 60 miles in 4 hours at a constant rate. On Saturday, he biked at a rate that was 4 mph slower. What was his rate on Saturday? A. 4 mph B. 11 mph C. 15 mph D. 16 mph

Answers

If on Saturday, he biked at a rate that was 4 mph, her rate on saturday will be 11mph. Option B is correct.

The formula for calculating unit rate is expressed as:

Unit rate = Distance/Time

Unit rate = 60miles/4hrs

Unit rate = 15mi/hr

This shows that Andre rate on friday is 15mi/hr

If on Saturday, he biked at a rate that was 4 mph slower, her rate on saturday will be 15-4 = 11mph

Learn more here: brainly.com/question/20445093

Answer:

Step-by-step explanation:

What is 3.29 as a mixed number

Answers

3.29 into a fraction is 3 29/100
and thats a mixed fraction 3 29/100

Hope this helped! :D

Ow many times does 60 goes into 125 for a mixed number

Answers

60 / 125 = mixed number 2 1/12

Three times a number minus 9 is equal to two times the number plus 7

Answers

Answer:

n=16

Step-by-step explanation:

Make an equation

Three times a number minus 9–> 3n-9

Times means multiply, and minus means subtract

Equals two times the number plus 7–> =2n+7

Times means multiply, and plus means add

3n-9=2n+7

Solve for n, by getting n by itself

Subtract 2n from both sides

3n-2n-9=2n-2n+7

n-9=7

Add 9 to both sides

n-9+9=7+9

n=16

What is a inverse operation { grade 6)

Answers

Inverse Operation- The operation that reverses the effect of another operation.

Hope this helps.

* Addition and subtraction are inverse operations of each other.
* Multiplication and division are inverse operations of each other.

Examples of Inverse Operation

* The inverse operation of "10 + 10 = 20" is "20 – 10 = 10", or vice-versa.
* The inverse operation of "7 × 8 = 56" is "56 ÷ 8 = 7", or vice-versa.

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