2nd Year Mathematics Chapter 10 TestUNIT 10: SOLUTION OF TRIGONOMETRIC EQUATIONS

Q1. Multiple choice questions (Attempt all · 10 × 1 = 10)

1. What additional insight does the graphical method provide?

   1. The behavior of the functions and their interactions

   2. Only the exact angles

   3. Only the coefficients

   4. Only the constants

2. What do the x-coordinates of the intersection points give?

   1. The slopes of the curves

   2. The maximum values

   3. The solutions satisfying f(x)=g(x)

   4. The y-intercepts

3. If one period is added repeatedly to a solution, we obtain:

   1. Only principal solutions

   2. All possible solutions

   3. No solution

   4. A different equation

4. What does the graphical solution of a trigonometric equation involve?

   1. Differentiating both sides

   2. Plotting the graphs of both sides

   3. Integrating both sides

   4. Factoring the equation

5. An unknown value of an angle that satisfies a trigonometric equation is called:

   1. Period

   2. Solution

   3. Amplitude

   4. Function

6. Which coordinate of an intersection point represents the solution to f(x)=g(x)?

   1. y-coordinate

   2. x-coordinate

   3. Both coordinates separately

   4. Origin

7. The solutions of a trigonometric equation are generally:

   1. Always finite

   2. Always zero

   3. Potentially infinite due to periodicity

   4. Always one

8. The general solution of a trigonometric equation is obtained by:

   1. Removing all solutions

   2. Adding or subtracting multiples of the period

   3. Multiplying by zero

   4. Squaring the equation only

9. A trigonometric equation involves one or more:

   1. Algebraic functions only

   2. Trigonometric functions

   3. Polynomial functions

   4. Logarithmic functions

10. What can be used as an alternative when algebraic methods are too complex?

    1. Graphical methods

    2. Division only

    3. Guessing

    4. Substitution only