67 Answered Questions for the topic Proof

04/04/20

#### are sine and cosine equal for non-acute complementary angles?

for example, when writing a proof, is it logical to write the following:cos(-ø)=sin(π/2+ø) (∵ the cosine of an angle is equal to the sine of its complementary angle)I ask because this...
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01/15/20

#### Vector Proof Question

Suppose v and w are vectors in Rn . Show that || v − w || ≥ || v || − || w ||

07/01/19

#### Why can't programs be proven?

Why can't a computer program be proven just as a mathematical statement can? A mathematical proof is built up on other proofs, which are built up from yet more proofs and on down to axioms - those...
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#### Need math help, please! Proof

Given: Quadrilateral has diagonal which splits the quadrilateral into two congruent isosceles triangles.Prove: is a rhombus.

Proof Logic

04/17/19

#### I need help finding out how to solve this proof

04/16/19

#### Can you prove anything in philosophy?

I don't understand philosophy very well, and so I am wondering whether you can "prove" anything in philosophy. It always seems you can go a layer down, and find another question, almost endlessly...
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03/19/19

#### Does a negative claimant have a burden of proof?

I have often heard it said that the burden of proof is on the positive claimant but not on the one making a negative claim. A person claiming, "God exists" has a burden of proof but not a person...
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02/11/19

#### Trigonometry Identity II

Please fully complete this identity, step-by-step with as much detail as necessary!(Note: 'θ' (theta) just means angle. It can be replaced with 'x'.)(1 ÷ cos θ + 1) - (1 ÷ cos θ - 1) = (2 ÷ sin2 θ)

02/11/19

#### Trigonometry Identity

Please fully complete this identity, step-by-step with as much detail as necessary! (Note: 'θ' (theta) just means angle. It can be replaced with 'x'.)Prove that (cos θ - tan θ)2 - 2 ≡ tan2 θ - (1 +...
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Proof Geometry

10/15/18

#### URGENT If m<2+m<3+m<4=180* then prove that m<1=m<3+m<4

A m<2 + m<3 + m<4 = 180*B m<1 + m<2 =180*C m<1 + m<2 = m<2 + m<3 + m<4D m<1 + m<2 - m<2 = m<2 +m<3 + m<4 - m<2E m<1 = m<3 + m<4

10/04/18

#### Let G be a group and a∈G. Prove that <a>C(a) ≤ G where <a>C(a) = {bc|b∈<a>, c∈C(a)}?

Need to prove that <a>C(a) ≤ G where <a>C(a) = {bc|b∈<a>, c∈C(a)}

Proof

07/31/18

#### Can I use proof where I assume the statement to be true and then arrive at a known fact.

Prove x/y + y/x ≥ 2.
Now the book gives (x-y)2 ≥0 and from there derived the above, hence proving it. I understand that, because you start at a known fact and end up at the thing you are trying to...
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05/30/18

#### Triangle Angle Bisector Proof

Given: Triangle ABD is an equilateral triangle and E is the midpoint of segment AD.
Prove: Segment EB bisects angle DBA.
Prove: Segment EB is perpendicular to Segment AD
Please also...
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#### Triangle Congruence Proof

Prove: Triangle ABF is congruent to Triangle EHG
Given: angle H = angle B and segments FG = EA, angles HEG and FAB are right angles,

02/13/18

#### Simplify using logic of laws, Question "~(~b∧a)∧(b∨a) "

~ mean not
^ mean and
∨ mean or
Help me pls

02/12/18

#### Prove by Induction question, 2+6+18+...+ 2.3^n-1 = (3^n)-1

Can anyone help me solving this problem, Im really really lost. Thank you

02/12/18

#### Contradiction prove question, "Prove by contradiction that the difference between any odd integer and any even integer is odd"

How to do this, please help me. Thank you very much!

02/12/18

#### Direct proof question, "The product of an even integer and an odd integer is even".

I didnt understand
Let say X = 2a +1 while y = 2b+1
Why you need to multiply xy rather x+y, as you can see below:
XY = (2a+1)(2y+1) <- correct
X+Y = 2a+1+2y+1 <- Incorrect
Can you...
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Proof

11/05/17

#### How do I solve for this 8PC=PQ

A is the midpoint of PQ, B is the midpoint of PA, and C is the midpoint of PB

Proof

10/03/17

#### Let a and b be positive rational numbers. Prove that if √a+√b is rational, so is √a

I do know how to solve this problem. Can you show the steps in solving it.
What do i substitute for a and b

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