Odd and even Function Worksheet

**Page 1**

1.

What is the period of the function $y$ = - $\frac{1}{2}$tan 3$x$?

a. | 3$\pi $ | ||

b. | $\frac{\pi}{6}$ | ||

c. | $\frac{2\pi}{3}$ | ||

d. | $\frac{\pi}{3}$ |

[

Period is

[

Correct answer : (4)

2.

Find the period of the function $y$ = tan 4$x$.

a. | 90 ^{o} | ||

b. | 45 ^{o} | ||

c. | 50 ^{o} | ||

d. | 720 ^{o} |

[

Period is

[

=

Correct answer : (2)

3.

Which of the following is true for the function $y$ = cos $x$?

a. | Even function | ||

b. | Odd function | ||

c. | Odd and even function | ||

d. | Cannot be determined |

If

Since cos (-

Correct answer : (1)

4.

Which of the following is true for the function $y$ = csc $x$?

a. | Odd function | ||

b. | Even function | ||

c. | Odd and even function | ||

d. | Cannot be determined |

If

Since csc (-

Correct answer : (1)

5.

Find the period of the function $y$ = 2 cot $x$.

a. | 2$\pi $ | ||

b. | $\pi $ | ||

c. | $\frac{\pi}{2}$ | ||

d. | $\frac{2}{\pi}$ |

[

Period is

[

=

Correct answer : (2)

6.

Find the period of the function $y$ = $\frac{5}{3}$ cos ($\frac{x}{3}$).

a. | 60 ^{o} | ||

b. | 540 ^{o} | ||

c. | 300 ^{o} | ||

d. | 108 ^{o} |

[

Period is

[

= 3

Correct answer : (2)

7.

What is the period of the function $y$ = - $\frac{3}{2}$sec 2$x$ ?

a. | 3$\pi $ | ||

b. | $\frac{\pi}{2}$ | ||

c. | $\pi $ | ||

d. | 2$\pi $ |

[

Period is

[

=

Correct answer : (3)

8.

Find the period of the function $y$ = sec 6$x$ + $\frac{3}{2}$.

a. | 90 ^{o} | ||

b. | 60 ^{o} | ||

c. | 30 ^{o} | ||

d. | 216 ^{o} |

[

Period is

[

=

Correct answer : (2)

9.

Find the period of the function $y$ = 2 csc ($\frac{x}{2}$).

a. | $\pi $ | ||

b. | 4$\pi $ | ||

c. | $\frac{\pi}{2}$ | ||

d. | 2$\pi $ |

[

Period is

[

= 4

Correct answer : (2)

10.

Find the period of the function $y$ = - 3 csc ($\frac{2}{3}$)$x$.

a. | $\frac{3\pi}{4}$ | ||

b. | 3$\pi $ | ||

c. | $\frac{3\pi}{2}$ | ||

d. | $\frac{4\pi}{3}$ |

[

Period is

[

= 3

Correct answer : (2)