Mathematics > QUESTIONS & ANSWERS > PRECALC 101 UNIT 9 9.4.6 Test (TST): Working with Trigonometric Functions Test Precalculus Honors Po (All)

9.4.6 Test (TST): Working with Trigonometric Functions Test Precalculus Honors Points Possible:100 Date: 04/29/2022 Answer the following questions using what you've learned from this unit. Write... your responses in the space provided. 1. Sketch a graph of the function . Part I: First, sketch at least two periods of the function on the graph below. Part II: What are the domain and range of the function ? Part III: Restrict the domain of the function so that it may be inverted and draw the reflection of this new graph of across the line y = x. This is a graph of the function 2. Part I: Evaluate the expression . Give the exact value ? answers expressed as decimals will receive no credit. Part II: Evaluate the expression . Give the exact value ? answers expressed as decimals will receive no credit. Part III: Evaluate the expression . Give the exact value ? answers expressed as decimals will receive no credit. Part IV: Evaluate the expression . Give the exact value ? answers expressed as decimals will receive no credit. 3. Use a calculator to evaluate the expression. Round your answer to the nearest hundredth. Part I: 1.07 Part II: 1.10 Part III: For questions 4 - 5, solve each equation on the interval . 4. Part I: Find two values of that satisfy this equation. Part II: Solve each equation separately to get the full solution set, choosing only solutions on the interval . 5. Part I: Solve this equation for 3x, finding all values on the interval [0,2π] that satisfy the equation. Part II: Use algebra to find all values of x between 0 and 2π that satisfy this equation. pi/3, pi, 5pi/3 For questions 6 - 7, find all solutions to the equation. 6. . Part I: Find the values of that satisfy the equation on the interval . Part II: Write an expression for all solutions to the equation. 3pi/4+pi(n) 7. . Part I: On the interval , what values of satisfy this equation? 3 Part II: On the interval , what values of does your answer to Part I produce? 5pi/3+4pi(n) Part III: Write an expression for all solutions to the equation theta=pi/3+4pi(n) 8. . Part I: Factor this equation and solve for sinx. 9. Part I: Solve each of the two equations in Part I for x, giving all solutions to the equation. 10. An object's motion is described by the equation . The displacement, , is measured in meters. The time, , is measured in seconds. Answer the following questions: Part I: What is the object's position at ? Be sure to include appropriate units. 0 meters. Part II: What is the object's maximum displacement from its resting position? Be sure to include appropriate units. Part III: How much time is required for one oscillation? Be sure to include appropriate units. 2 seconds. Part IV: What is the frequency of this motion? Be sure to include appropriate units.. Part V: What will the height of the object be at t = 1.75 seconds? [Show More]

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