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 = [tex]cos^{-1}(-1)[/tex]
∵ 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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