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2 years ago

The improper fraction of 1 IS.... 81 0 3 2 3 S 3

Mathematics

1 answer:

Darina [25.2K]2 years ago

8 0

Answer: 3 1 0

Step-by-step explanation:

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Answer:

See below

Step-by-step explanation:

We want to prove that

$\sin(x)\tan(x) = \dfrac{1}{\cos(x)} - \cos(x), \forall x \in\mathbb{R}$

Taking the RHS, note

$\dfrac{1}{\cos(x)} - \cos(x) = \dfrac{1}{\cos(x)} - \dfrac{\cos(x) \cos(x)}{\cos(x)} = \dfrac{1-\cos^2(x)}{\cos(x)}$

Remember that

$\sin^2(x) + \cos^2(x) =1 \implies 1- \cos^2(x) =\sin^2(x)$

Therefore,

$\dfrac{1-\cos^2(x)}{\cos(x)} = \dfrac{\sin^2(x)}{\cos(x)} = \dfrac{\sin(x)\sin(x)}{\cos(x)}$

Once

$\dfrac{\sin(x)}{\cos(x)} = \tan(x)$

Then,

$\dfrac{\sin(x)\sin(x)}{\cos(x)} = \sin(x)\tan(x)$

Hence, it is proved

5 0

2 years ago

Which values of x make the equation |x - 7| = x - 7 true? 9 0 3 8 -7

Vlad [161]

-7
I might not be right but that’s what I got.

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3 years ago

12.6 + 4m = 9.6 + 8m

Sergeu [11.5K]

Answer:

3 = 4m or 0.75 = m

Step-by-step explanation:

12.6 + 4m = 9.6 + 8m

Subtract 4m from both sides of the equation

12.6 = 9.6 + 4m

Subtract 9.6 from both sides of the equation

3 = 4m

Divide by four on both sides of the equation

0.75 = m

I Hope That This Helps! :)

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The improper fraction of 1 IS.... 81 0 3 2 3 S 3​

The improper fraction of 1 IS.... 81 0 3 2 3 S 3