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Trigonometric Functions: Analyzing Hallway Turn For Longest Pipe Length.pdf

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Preview of Trigonometric Functions: Analyzing Hallway Turn for Longest Pipe Length
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⬇️ Downloads: 19

Summary

cos(β) = −5 and β is in quadrant III, find sin(β) = -√(25 + 1) = -√26
f(x) = 4 sin(2x −π) amplitude = 4, period = π/2, phase shift = π/4
f(x) = 5 cos(4x + 3π) amplitude = 5, period = π/4, phase shift = -3π/4
L = 4ft + 4ft tan(θ) = 4ft + 4ft (tan(θ)) = 8ft tan(θ)
L = 8ft tan(θ) is a decreasing function, so the longest pipe is at θ = 0

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