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3 years ago

WILL GIVE BRAINLIEST BUT BE QUICK PLS it’s question number 6

Mathematics

1 answer:

djverab [1.8K]3 years ago

3 0

the answer is in the picture

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Find all solutions in the interval from [0,2pi) 2cos(3x)= -sqrt{2}

algol [13]

Solutions of $2cos(3x)= -\sqrt{2}$ in the interval from [0,2pi) is $x =\frac{\pi}{12}$ and $x = \frac{23\pi}{12}$ .

Step-by-step explanation:

Find all solutions in the interval from [0,2pi)

$2cos(3x)= -\sqrt{2}$

⇒ $2cos(3x)= -\sqrt{2}$

⇒ $\frac{2cos(3x)}{2}= \frac{-\sqrt{2}}{2}$

⇒ $cos3x= \frac{-\sqrt{2}(\sqrt{2})}{2{\sqrt{2}}}$

⇒ $cos3x= \frac{-2}{2{\sqrt{2}}}$

⇒ $cos3x= \frac{-1}{{\sqrt{2}}}$

⇒ $cos^{-1}(cos3x)= cos^{-1}(\frac{-1}{{\sqrt{2}}})$

⇒ $3x=\pm \frac{\pi}{4}$

⇒ $x=\pm \frac{\pi}{12}$

Cosine General solution is :

$x = \pm cos^{-1}(y)+ 2k\pi$

⇒ $x = \pm \frac{\pi}{12}+ 2k\pi$ , k is any integer .

At k=0,

⇒ $x =\frac{\pi}{12}$ ,

At k=1,

⇒ $x = - \frac{\pi}{12}+ 2\pi$

⇒ $x = \frac{23\pi}{12}$

Therefore , Solutions of $2cos(3x)= -\sqrt{2}$ in the interval from [0,2pi) is $x =\frac{\pi}{12}$ and $x = \frac{23\pi}{12}$ .

5 0

3 years ago

Which polynomial represents the sum below? (14x2 – 14) + (–10x2 – 10x + 10) A. 4x2 – 10x + 24 B. 4x2 – 10x – 4 C. 24x2 – 24x – 1

Gennadij [26K]

Answer:

answer : B

Step-by-step explanation:

(14x2 – 14) + (–10x2 – 10x + 10) = (14x² - 10x²) -10x + (-14+10)

(14x2 – 14) + (–10x2 – 10x + 10) = = 4x² - 10x - 4

answer : B

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4 years ago

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What is 1/3 converted into ninths? What is 2/4 converted into twelfths?

castortr0y [4]

For 1/3 it is 3/9 and 2/4 is 6/12

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3 years ago

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a recipe calls for two and two fourth cups of raisins,but Julie only has a one fourth cup measuring cup.how many one fourth cups

Olegator [25]

I believe it would take 10 cups. The reason being 4 cups of 1/4 equals 1 so double it to 8 and add 2 more cups to make 2/4. So add 8 plus 2 and get 10.

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3 years ago

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21 is 60% of what number

irga5000 [103]

The answer is 12.6 %.
60% = 60 / 100 = 0.6

60% of 21
= 60% * 21
= 0.6 * 21
= 12.6

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4 years ago

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