# CBSE Class 10-Mathematics: Chapter – 8 Introduction to Trigonometry Part 8 (For CBSE, ICSE, IAS, NET, NRA 2023)

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Question 18:

An army contingent of members is to march behind an army band of members in a parade. The two groups are to march in the same number of columns. What is the maximum number of columns in which they can march?

We have to find the to find the maximum number of columns in which they can march.

To find the , we can use Euclid՚s algorithm.

The is .

Therefore, they can march in 8 columns each.

Question 19:

Use Euclid՚s division lemma to show that the square of any positive integer is either of form for some integer m.

[Hint: Let be any positive integer then it is of the form . Now square each of these and show that they can be rewritten in the form or .]

Let be any positive integer and .

Then for some integer

And because

Therefore,

Or,

Where , and are some positive integers

Hence, it can be said that the square of any positive integer is either of the form or .

## 3 Mark Questions

Question 1:

Given calculate all other trigonometric ratios.