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Allisa [31]
3 years ago
7

If y= -cos x, what x-value corresponds to a y-value of 1 between 0 and 2 pi

Mathematics
1 answer:
sveta [45]3 years ago
7 0

The x-value corresponds to a y-value of 1 is π

Step-by-step explanation:

The given is:

  • y = - cos x
  • y = 1
  • 0 < x < 2π

We need to find x when y is 1

∵ y = - cos x

∵ y = 1

∴ 1 = - cos x

- Multiply both sides by -1

∴ -1 = cos x

- Switch the two sides

∴ cos x = -1

- Use the inverse of cos to find x

∴ x = cos^{-1}(-1)

∵ cos(π) = -1

∴ x = π

The x-value corresponds to a y-value of 1 is π

Look to the attached graph for more understand

<em>The graph of y = 1 intersects the graph of y = - cos x at x = π from 0 to 2π</em>

Learn more:

You can learn more about the trigonometry equations in brainly.com/question/1599828

#LearnwithBrainly

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Assumptions
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Let x be the amount of 25% orange juice
Let y be the amount of 10% orange juice

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There are 15 litres of 13% orange juice
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x + y = 15

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The 15 litres of juice is 13% orange juice
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Rewrite the equations and solve for x and y
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x + y = 15 ----------------------- (Equation 1)
0.25x + 0.1y = 1.95 ----------- (Equation 2)

(Equation 1):
x + y = 15
x = 15 - y  ----------- (Substitute into Equation 2)

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