Gr 10 Math Ch 4: Solving Trigonometric Equations
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Questions and Answers

What is the first step in solving a trigonometric equation?

  • Use a calculator to find the angle
  • Identify the trigonometric ratio involved (correct)
  • Rearrange the equation to isolate the trigonometric ratio
  • Determine if there is a solution

    • When can there be no solution for a trigonometric equation?

  • When the ratio exceeds 1 for sine or cosine
  • When the triangle is not right-angled
  • When the values are outside the domains of the trigonometric functions (correct)
  • When the angle is negative

    • Which inverse trigonometric function would you use to find an angle if the sine ratio is known?

  • tan⁻¹
  • cos⁻¹
  • cosec⁻¹
  • sin⁻¹ (correct)

    • To find unknown lengths in right-angled triangles, which trigonometric ratios can be used?

    <p>Sine, cosine, and tangent</p> Signup and view all the answers

    If two sides of a right-angled triangle are known, which can be calculated next?

    <p>The angles of the triangle using trigonometric ratios</p> Signup and view all the answers

    What must be done after rearranging a trigonometric equation?

    <p>Use a calculator to find the angle</p> Signup and view all the answers

    What is the first action you should take when starting to solve a trigonometric equation?

    <p>Identify the trigonometric ratio involved.</p> Signup and view all the answers

    Which scenario would indicate that a trigonometric equation might have no solution?

    <p>The sine ratio is greater than 1.</p> Signup and view all the answers

    What must be calculated using trigonometric ratios when two sides of a right-angled triangle are known?

    <p>The angles inside the triangle.</p> Signup and view all the answers

    In solving trigonometric equations, which function is used to find an angle from the cosine ratio?

    <p>cos^-1</p> Signup and view all the answers

    What is the correct procedure after isolating the trigonometric ratio in an equation?

    <p>Use an inverse trigonometric function to find the angle.</p> Signup and view all the answers

    Which trigonometric function would be used to solve for an angle if the tangent ratio is known?

    <p>tan^-1</p> Signup and view all the answers

    What is the consequence of trying to find an angle using a sine ratio greater than 1?

    <p>There may be no solution as it exceeds the sine function's range.</p> Signup and view all the answers

    Which of the following statements is accurate regarding the use of inverse trigonometric functions?

    <p>Inverse functions give a specific angle even if multiple angles are valid solutions.</p> Signup and view all the answers

    Which process is NOT part of solving a trigonometric equation?

    <p>Perform an approximation of the angle.</p> Signup and view all the answers

    What is a critical consideration when rearranging trigonometric equations for calculation?

    <p>The equality of the original equation must be maintained through proper alteration.</p> Signup and view all the answers

    When isolating a cosine ratio in an equation, which representation is essential to consider?

    <p>The ratio must remain within the limits of negative one and positive one.</p> Signup and view all the answers

    What might indicate that a trigonometric problem can only yield complex solutions?

    <p>Having sides of a triangle that violate the triangle inequality theorem.</p> Signup and view all the answers

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