CBSE Class 10-Mathematics: Chapter –8 Introduction to Trigonometry Part 8
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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?
Answer:
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 .]
Answer
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.

Calculate All Other Trigonometric Ratios
Answer:
Consider a triangle ABC in which
Let
Then, using Pythagoras theorem,