Q1 of 69 Page 261

Which of the following sentences are statements? Justify
sin²x + cos²x = 0

Concept Used: A statement is an assertive (declarative) sentence if it is either true or false but not both.

According to the laws of trigonometry, sin²x + cos²x = 1

So, The given expression is False.

Hence, It is a false statement

Which of the following sentences are statements? Justify

Every square is a rectangle.

Which of the following sentences are statements? Justify

Sum of opposite angles of a cyclic quadrilateral is 180°.

Find the component statements of the following compound statements.

Number 7 is prime and odd.

Find the component statements of the following compound statements.

Chennai is in India and is the capital of Tamil Nadu.

Questions · 69

14. Mathematical Reasoning

1 1 1 1 1 1 1 1 1 1 2 2 2 2 2 2 2 2 2 3 3 3 3 4 4 4 4 4 4 4 4 4 4 5 6 7 8 8 8 9 10 11 12 13 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 36

Which of the following sentences are statements? Justifysin2x + cos2x = 0