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3 years ago

What is the property of 7/9 * 1 = 7/9

Mathematics

1 answer:

lidiya [134]3 years ago

5 0

Answer:

Identity property of multiplication (multiplying a number by one will result in that number)

Step-by-step explanation:

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Verify the identity (tan x + 1)^2 + (tan x-1)^2= 2 sec^2 x

Elina [12.6K]

$(\tan x+1)^2+(\tan x-1)^2=2\sec^2x\\\\\text{use}\ \tan x=\dfrac{\sin x}{\cos x}\\\\L_s=\left(\dfrac{\sin x}{\cos x}+\dfrac{\cos x}{\cos x}\right)^2+\left(\dfrac{\sin x}{\cos x}-\dfrac{\cos x}{\cos x}\right)^2\\\\=\left(\dfrac{\sin x+\cos x}{\cos x}\right)^2+\left(\dfrac{\sin x-\cos x}{\cos x}\right)^2\\\\=\dfrac{(\sin x+\cos x)^2}{\cos^2x}+\dfrac{(\sin x-\cos x)^2}{\cos^2x}\\\\\text{use}\ (a\pm b)^2=a^2\pm2ab+b^2$

$=\dfrac{\sin^2x+2\sin x\cos x+\cos^2}{\cos^2x}+\dfrac{\sin^2x-2\sin x\cos x+\cos^2}{\cos^2x}\\\\=\dfrac{\sin^2x+2\sin x\cos x+\cos^2+\sin^2x-2\sin x\cos x+\cos^2}{\cos^2x}\\\\=\dfrac{2\sin^2x+2\cos^2x}{\cos^2x}=\dfrac{2(\sin^2x+\cos^2x)}{\cos^2x}\\\\\text{use}\ \sin^2x+\cos^2x=1\\\\=\dfrac{2(1)}{\cos^2x}=2\cdot\dfrac{1}{\cos^2x}=2\left(\dfrac{1}{\cos x}\right)^2\\\\\text{use}\ \sec x=\dfrac{1}{\cos x}\\\\=2(\sec^2x)=2\sec^2x=R_s\\\\L_s=R_s\Rightarrow The\ identity$

4 0

3 years ago

1<br> -<br> 2 x(x-2x+4<br> Ayuda

vova2212 [387]

Answer:

Simplified - 2x(-x+4), Solution - -2x(-x+4)

4 0

3 years ago

The ratio of the number of silver watches to the number of gold watches in a shop is 2:3. Which of the following best describes

musickatia [10]

For every 2 silver watches, there are 3 gold watches :)

4 0

3 years ago

Read 2 more answers

‏Good morning, what is the

Sveta_85 [38]

Answer:

Good morning means when a morning is coming earlier. the morning of the actual weather condition in which city is the weather is mostly Sunny and it will good at morning.For that they will tell it as Good morning

Step-by-step explanation:

that's it simple

I hope it helps you

mark me as BRAINLIEST pls

8 0

3 years ago

In Hillsboro's wig shop, 1/2 of the wigs are blonde and 1/12 of the wigs are brunette. What fraction of the wigs are either blon

ella [17]

Answer:

7/12

Step-by-step explanation:

So, the probability of picking up a blonde wig = 1/2

The probabiliy of picking up a brunette wig = 1/12

The question asks to find th eprobability of picking up either of these types of wigs =

1/2 + 1/12

= 6/12 + 1/12 ( LCM of 12 and 1 is 12 )

= 7/12

Hope this helps

3 0

3 years ago