Gr 11 Math Ch 6: Trigonometric Equations
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Questions and Answers

What is the first step in solving a trigonometric equation?

  • Use the reduction formulae to find the values of the angle
  • Use a calculator to find the reference angle (correct)
  • Check the solution using a calculator to ensure it satisfies the original equation
  • Use the CAST diagram to determine the quadrants

What is the purpose of the CAST diagram in solving trigonometric equations?

  • To find the reference angle
  • To determine the quadrants where the trigonometric function is positive or negative (correct)
  • To simplify the equation
  • To check the solution using a calculator

What is the general solution for trigonometric equations?

  • The solution and its multiples of the period (correct)
  • The solution within the interval [0⁰; 360⁰]
  • The solution within the given interval
  • The solution and its opposite

How do you find the general solution for trigonometric equations?

<p>By finding the solution within the given interval and adding multiples of the period (A)</p> Signup and view all the answers

What is the first step in solving quadratic trigonometric equations?

<p>Simplify the equation and determine the reference angle (D)</p> Signup and view all the answers

What is the purpose of the reduction formulae in solving trigonometric equations?

<p>To find the values of the angle (C)</p> Signup and view all the answers

Why is it important to check the solution using a calculator?

<p>To ensure the solution satisfies the original equation (C)</p> Signup and view all the answers

What is the reason for the existence of multiple solutions in trigonometric equations?

<p>Due to the periodic nature of trigonometric functions (A)</p> Signup and view all the answers

When solving a trigonometric equation, why is it necessary to use a calculator to find the reference angle?

<p>To ensure accuracy in the calculations (C)</p> Signup and view all the answers

What is the purpose of the reduction formulae in solving trigonometric equations?

<p>To simplify the equation and find the values of the angle (C)</p> Signup and view all the answers

What is the significance of the CAST diagram in solving trigonometric equations?

<p>To identify the quadrants where the trigonometric function is positive or negative (C)</p> Signup and view all the answers

When solving a quadratic trigonometric equation, what should be done after simplifying the equation?

<p>Substitute suitable values to find the solutions (D)</p> Signup and view all the answers

Why are there multiple solutions to trigonometric equations?

<p>Due to the periodic nature of trigonometric functions (A)</p> Signup and view all the answers

What should be done after finding the solutions to a trigonometric equation?

<p>Check the solution using a calculator (B)</p> Signup and view all the answers

When finding the general solution of a trigonometric equation, what should be added to each answer?

<p>Multiples of the period (C)</p> Signup and view all the answers

What is the purpose of finding the reference angle in solving trigonometric equations?

<p>To find the values of the angle (B)</p> Signup and view all the answers

What is the main purpose of using the CAST diagram in solving trigonometric equations?

<p>To determine the quadrants where the trigonometric function is positive or negative. (A)</p> Signup and view all the answers

What is the formula used to find the general solution of a trigonometric equation?

<p>= + k(360^\circ) (C)</p> Signup and view all the answers

What is the advantage of using a calculator to find the reference angle in solving trigonometric equations?

<p>It provides an exact value for the angle. (A)</p> Signup and view all the answers

What is the main difference between solving a trigonometric equation and a quadratic trigonometric equation?

<p>The method of solution. (B)</p> Signup and view all the answers

What is the purpose of adding multiples of the period to each answer when finding the general solution of a trigonometric equation?

<p>To find the general solution. (D)</p> Signup and view all the answers

What is the significance of the periodic nature of trigonometric functions in solving trigonometric equations?

<p>It leads to multiple solutions. (D)</p> Signup and view all the answers

What is the last step in solving a trigonometric equation?

<p>Checking the solution using a calculator. (A)</p> Signup and view all the answers

What is the main difference between the reference angle and the general solution of a trigonometric equation?

<p>The interval of solution. (A)</p> Signup and view all the answers

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