Functions II - Ambitious

Question 1: Find the period of the function

f (x) = \cos (\frac{θ}{3})

A

6 π

B

2 π

C

\frac{1}{3} π

D

3 π

Question 2: Find the period of the function

f (x) = - 6 \cot (3 θ + 4)

A

\frac{π}{3}

B

\frac{4}{3} π

C

π

D

7 π

Question 3: Find the period of the function

f (x) = 2 \cos (\frac{θ}{2}) + 5 \cos (\frac{θ}{3})

A

4 π

B

6 π

C

18 π

D

12 π

Question 4: Find the period of the function

f (x) = \frac{1}{5} \sin (3 θ) + \frac{1}{4} \sin (\frac{θ}{5})

A

5 π

B

10 π

C

\frac{2}{3} π

D

30 π

Question 5: Find the amplitude of the function

f (x) = 3 \sin (\frac{θ}{15})

A

3

B

1

C

30

D

6

Test: Functions II - Ambitious