Answered: Find the period and the amplitude. y =…

Algebra and Trigonometry (MindTap Course List)

4th Edition

ISBN:9781305071742

Author:James Stewart, Lothar Redlin, Saleem Watson

Publisher:James Stewart, Lothar Redlin, Saleem Watson

Chapter6: Trigonometric Functions: Unit Circle Approach

Section6.CR: Chapter Review

Problem 4CC

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Refraction When you stand in shallow water and look at an object below the surface of the water, the object will look farther away from you than it really is. This is because when light rays pass between air and water, the water refracts, or bends, the light rays. The index of refraction for water is 1.333. This is the ratio of the sine of 1 and the sine of 2 (see figure). (a) While standing in water that is 2 feet deep, you look at a rock at angle 1=60 (measured from a line perpendicular to the surface of the water). Find 2. (b) Find the distances x and y. (c) Find the distance d between where the rock is and where it appears to be. (d) What happens to d as you move closer to the rock? Explain.
Harmonic Motion The displacement from equilibrium of an oscillating weight suspended by a spring is given by y(t)=12cos6t where y is the displacement in feet and t is the time in seconds. Find the displacement when (a) t = 0, (b) t=14, and (c) t=12.

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Find the period and the amplitude. y = –cos (2x/5) Step 1: Rewrite the trigonometric expression in the form y = a cos (bx). y=-cos(2x/5)= _____ cos (____x) Step 2: Find the period of y by dividing 2pi by b _________ FRind the amplitude of y

Find the period and the amplitude. y = –cos (2x/5) Step 1: Rewrite the trigonometric expression in the form y = a cos (bx). y=-cos(2x/5)= _ cos (x) Step 2: Find the period of y by dividing 2pi by b _____ FRind the amplitude of y