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Which of the following sentence is the statement in logic? Justify. Write down the truth value of the statement: cos2θ − sin2θ = cos2θ for all θ∈R. - Mathematics and Statistics

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Question

Which of the following sentence is the statement in logic? Justify. Write down the truth value of the statement:

cos2θ − sin2θ = cos2θ for all θ∈R.

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Solution

It is a statement which is true, hence its truth value is ‘T’.

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Chapter 1: Mathematical Logic - Miscellaneous Exercise 1 [Page 33]

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Balbharati Mathematics and Statistics 1 (Arts and Science) [English] Standard 12 Maharashtra State Board
Chapter 1 Mathematical Logic
Miscellaneous Exercise 1 | Q 2.5 | Page 33
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