Question

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

Answer 1

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

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

Learn more:

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

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