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Xelga [282]
3 years ago
9

If sinx=1/5 and x terminates in the first quadrant, determine cos 2x.

Mathematics
1 answer:
LenaWriter [7]3 years ago
3 0

Hey there! I'm happy to help!

Let's think of this angle being put inside of a unit circle (a circle with a radius of one). This angle is going to stay inside the first quadrant, so all of its trigonometric ratios will be positive.

We are given that the sin of x is 1/5. To get the x by itself, we can just find the inverse sine of both sides to isolate the x.

x=sin^-1(1/5)

x≈ 11.536959

2x≈ 23.073918

Now, we just cosine this value.

cos2x≈ 0.92

I hope that this helps! Have a wonderful day!

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Please answer this question!I don’t understand it-Question number 2
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Answer: The greatest depth of the Southern Ocean is 7.24

Step-by-step explanation:

So, if you add all the greatest depths up, you get 33.23

(33.23 + x)/5 = 8.094

Multiply each side by 5

33.23 + x = 40.47

Subtract 33.23 from each side

x = 7.24

You can check this by adding all the numbers up and dividing them by 5

40.47/5 = 8.094

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3 years ago
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Answer:

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Step-by-step explanation:

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3 years ago
Can someone help me with this one? it's due today at 9pm and I really don't know it!!! ​
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Answer:

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Step-by-step explanation:

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6 0
1 year ago
over the past five weeks, the average daily temperature in Wellington has dropped 40 degrees Fahrenheit. Write and evaluate ab e
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7 0
4 years ago
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zlopas [31]

The puppy runs a distance of D) 18 - 19 meters in one lap.

Step-by-step explanation:

Step 1; It is given that the leash measures 3 meters long. He runs pulling the leash as much as he can creating circles. Even though he keeps pulling, the leash will remain at a constant length of 3 meters. So we need to calculate the perimeter of the circle.

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