Using Venn Diagram, prove that `Acap(BcupC)=(AcapB)cup(AcapC)`
,
,
,
,

Verify with numerical examples and Venn diagram: Acup(BcupC)=(AcupB)cupC

Prove analytically that (A-B)cup(B-A)=(AcupB)-(AcapB)

Prove analytically that A-B=AcapB^c

A= {1, 3, 2), B = {4} and C= {5}, Verify that Axx(BcupC)=(AxxB)cup(AxxC)

Using geometry prove that tan (90- theta) = cot theta .

Using geometry prove that sec (90 - theta) = cosec theta .

Using geometry prove that sin (90 - theta) = cos theta .

Let A and B be any two sets.Using properties of sets prove that (AnnB)uu(A-B)=A

Using properties of determinants, prove that |(1,a,a^(3)),(1,b,b^(3)),(1,c,c^(3))| = (a-b)(b-c)(c-a)(a+b+c) .