Solving Simultaneous Equations with Trigonometric Functions
17 Questions
0 Views

Choose a study mode

Play Quiz
Study Flashcards
Spaced Repetition
Chat to Lesson

Podcast

Play an AI-generated podcast conversation about this lesson

Questions and Answers

In Illustration 4, what is the most general value of θ that satisfies both equations?

  • θ = 2nπ + 7π/6 (correct)
  • θ = nπ + π/6
  • θ = 2nπ + π/6
  • θ = nπ + 7π/6

In Illustration 5, what is the smallest positive value of A + B?

  • π/6
  • π/3
  • π/2 (correct)
  • π/4

In Illustration 5, what is the smallest positive value of A - B?

  • π/4
  • π/6 (correct)
  • π/3
  • π/2

In Illustration 4, which of the following is NOT a value of θ that satisfies the equation sin θ = -1/2?

<p>θ = π/6 (B)</p> Signup and view all the answers

In Illustration 5, which of the following is NOT a general value of A - B?

<p>A - B = 2nπ + π/2 (C)</p> Signup and view all the answers

In Illustration 5, which of the following is NOT a general value of A + B?

<p>A + B = nπ + π/4 (A)</p> Signup and view all the answers

What is the smallest positive angle whose sine is 1/2?

<p>π/6 (C)</p> Signup and view all the answers

What is the general solution for the equation cos θ = -1/2?

<p>θ = nπ + (-1)^n * π/3 (D)</p> Signup and view all the answers

What is the general solution for the equation sin θ = 1?

<p>θ = (4n + 1)π/2 (A)</p> Signup and view all the answers

What is the general solution for the equation sin θ = sin α?

<p>θ = 2nπ + α (B)</p> Signup and view all the answers

What is the general solution for the equation cos θ = cos α?

<p>θ = nπ + α (A)</p> Signup and view all the answers

What is the general solution for the equation tan θ = tan α?

<p>θ = nπ + α (C)</p> Signup and view all the answers

What is the general solution for the equation sin  = sin ?

<p>    = n + (– 1)n  ; nI ;    ,   2 2 (D)</p> Signup and view all the answers

What is the general solution for the equation cos  = cos ?

<p> = 2n ± ; nI;  [0, ] (C)</p> Signup and view all the answers

What is the general solution for the equation tan  = tan ?

<p> = n + ; nI;    ,    2 2 (A)</p> Signup and view all the answers

What is the smallest positive value of  that satisfies cos  = cos ?

<p>/4 (D)</p> Signup and view all the answers

What is the smallest positive value of  that satisfies tan  = tan , given that  is in the first quadrant?

<p>/4 (D)</p> Signup and view all the answers

More Like This

Use Quizgecko on...
Browser
Open
Browser
Browser