Understanding T-Results and Functions

The video tutorial explains the use of T results in solving trigonometric equations. It covers the substitution process, solving for X, and the importance of testing solutions. The tutorial emphasizes the need to visualize solutions using graphs and highlights potential pitfalls in the process. It concludes with a discussion on the marking scheme for questions involving T results.

Why is the first line in substitution critical when using T-Results?

• It is used to check the final answer.

• It is not important at all.

• It ensures the correct application of T-Results.

• It helps in simplifying the equation.

What should you remember when solving equations with T-Results?

• Always use the quadratic formula.

• Check for solutions that might disappear.

• Ignore any errors that occur.

• Only focus on the first solution.

What is a common issue when visualizing solutions with T-Results?

• The graph is always linear.

• There are no issues with visualization.

• Solutions may disappear unexpectedly.

• The graph is always quadratic.

What is the range of sine function?

• -2 to 2

• 0 to 2

• -1 to 1

• 0 to 1

What is the range of the function 1 + cos(x)?

• 0 to 2

• -1 to 1

• 1 to 2

• 0 to 1

Why is it important to test solutions when using T-Results?

• To ensure the solution is within the domain.

• To find more solutions.

• To avoid using graphs.

• To make the process faster.

What happens when you put 180 degrees into tan(x/2)?

• It results in zero.

• It results in infinity.

• It results in a negative value.

• It results in one.

What is the Achilles' heel of using T-Results?

• They are too complex to use.

• They can lead to missing solutions.

• They are not applicable to all equations.

• They always provide incorrect solutions.

What should you do if a solution disappears when using T-Results?

• Recalculate using a different method.

• Assume it was incorrect.

• Test the solution to verify.

• Ignore it and move on.

How many marks are typically awarded for testing solutions in a T-Results problem?

• One mark

• Two marks

• Three marks

• No marks