Unit: 1.1.1 (b)Function
Exercise: 1.1.1. (b)
1. (a) Write the maximum and minimum values of .
Solution:
The maximum and minimum values of are +1 and -1 respectively.
1. (b) Write the maximum and minimum values of
Solution:
The maximum and minimum values of are +1 and -1 respectively.
1. (c) Write the maximum and minimum values of .
Solution:
The maximum and minimum values of are and respectively.
2. (a) Write the period of
Solution:
The period of is .
2. (b) Write the period of
Solution:
The period of is .
2. (c) Write the period of
Solution:
The period of is
3. (a) Draw the graph of
Solution:
Given,
Let us take the values of x differing 90° and corresponding values of y for . The maximum and minimum values of are 1 and respectively.
3. (b) Draw the graph of
Solution:
Given,
Let us take the values of x differing 90° and corresponding values of y for The maximum and minimum values of are 1 and respectively.
Now,
3. (c) Draw the graph of
Solution:
Given,
Now,
3. (d) Draw the graph of
Solution:
Given,
4. Study the topic 'sound' in physics of your science book and find the nature of longitudinal wave. Relate this concept with trigonometric function.
Solution:
The nature of longitudinal wave is like the graph of sine function.
3. (b) Draw the graph of
Solution:
Given,
Let us take the values of x differing 90° and corresponding values of y for The maximum and minimum values of are 1 and respectively.
Now,
3. (c) Draw the graph of
Solution:
Given,
Now,
3. (d) Draw the graph of
Solution:
Given,
4. Study the topic 'sound' in physics of your science book and find the nature of longitudinal wave. Relate this concept with trigonometric function.
Solution:
The nature of longitudinal wave is like the graph of sine function.