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State DeMorgan's law. Prove it using the truth table.
Ans: DeMorgan's law defines that
(i) (x ∨ y)' = x' ∧ y'
(ii) (x ∧ y)' = x' ∨ y'
Now let us draw truth table for the two statements
It is clear from the truth table that column (3) is equal to column (4). Likewise column (5) is equal to column (6).
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G raph y = sec ( x ) Solution: As with tangent we will have to avoid x's for which cosine is zero (recall that sec x =1/ cos x) Secant will not present at
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