2nd Year Mathematics Chapter 9 TestUNIT 9: INVERSE TRIGONOMETRIC FUNCTIONS AND THEIR GRAPHS

Q1. Multiple choice questions (Attempt all · 9 × 1 = 9)

1. The domain of the inverse function f^-1 is the ....... of f.

   1. Domain

   2. Range

   3. Period

   4. Zero

2. Trigonometric functions are generally not one-to-one on their entire domains because they are:

   1. Linear

   2. Periodic

   3. Constant

   4. Undefined

3. The inverse of sin x is written as:

   1. cos^-1 x

   2. tan^-1 x

   3. sin^-1 x

   4. sec^-1 x

4. If y= sin^-1 x, then:

   1. x= cosy

   2. x=siny

   3. x=tany

   4. x=secy

5. The range of the inverse function f^-1 is the ...... of f:

   1. Domain

   2. Range

   3. Period

   4. Amplitude

6. The graph of a function and its inverse are:

   1. Parallel

   2. Perpendicular

   3. Reflections of each other in y=x

   4. Always identical

7. A function must be ...... to have an inverse function.

   1. Constant

   2. One-to-one and onto

   3. Periodic

   4. Even

8. The graph of y=sin x is obtained by reflecting y=sin^-1 x in the line:

   1. y=0

   2. x=0

   3. y=x

   4. y=1

9. If x=siny, then y can be written as:

   1. cos^-1 x

   2. tan^-1 x

   3. sin^-1 x

   4. sec^-1 x