Podcast
Questions and Answers
What is the first step in solving a trigonometric equation?
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 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?
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?
To find unknown lengths in right-angled triangles, which trigonometric ratios can be used?
If two sides of a right-angled triangle are known, which can be calculated next?
If two sides of a right-angled triangle are known, which can be calculated next?
What must be done after rearranging a trigonometric equation?
What must be done after rearranging a trigonometric equation?
What is the first action you should take when starting to solve a trigonometric equation?
What is the first action you should take when starting to solve a trigonometric equation?
Which scenario would indicate that a trigonometric equation might have no solution?
Which scenario would indicate that a trigonometric equation might have no solution?
What must be calculated using trigonometric ratios when two sides of a right-angled triangle are known?
What must be calculated using trigonometric ratios when two sides of a right-angled triangle are known?
In solving trigonometric equations, which function is used to find an angle from the cosine ratio?
In solving trigonometric equations, which function is used to find an angle from the cosine ratio?
What is the correct procedure after isolating the trigonometric ratio in an equation?
What is the correct procedure after isolating the trigonometric ratio in an equation?
Which trigonometric function would be used to solve for an angle if the tangent ratio is known?
Which trigonometric function would be used to solve for an angle if the tangent ratio is known?
What is the consequence of trying to find an angle using a sine ratio greater than 1?
What is the consequence of trying to find an angle using a sine ratio greater than 1?
Which of the following statements is accurate regarding the use of inverse trigonometric functions?
Which of the following statements is accurate regarding the use of inverse trigonometric functions?
Which process is NOT part of solving a trigonometric equation?
Which process is NOT part of solving a trigonometric equation?
What is a critical consideration when rearranging trigonometric equations for calculation?
What is a critical consideration when rearranging trigonometric equations for calculation?
When isolating a cosine ratio in an equation, which representation is essential to consider?
When isolating a cosine ratio in an equation, which representation is essential to consider?
What might indicate that a trigonometric problem can only yield complex solutions?
What might indicate that a trigonometric problem can only yield complex solutions?
