Proofs Flashcards

1
Q

Rewrite sin2x

A
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2
Q

Rewrite Cos2x

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3
Q

Rewrite tan2x

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4
Q

Show that cos(3x)=4cos(x)^3-3cos(x)

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5
Q

sin(3x)=-4sin(x)^3+3sin(x)

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6
Q

Prove from first principles that D/d@ sin@ = cos@

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7
Q

show thederivative of y=a^x is a^xlna for any constant a>0

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8
Q

intergrate Ln x = xLnx -x +c

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9
Q

intergrate cos^”x

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10
Q

priove the sum of first n terms geometric

hint: work back from fb eq
sn= {a(1-r)} / 1-r

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11
Q

priove the sum of first n terms arithmetic

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12
Q

proove by contradiciton -/2 is irration no.

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13
Q

prove that there are indefinitely prime number

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14
Q

derive suvat equation

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15
Q

derive projectile motion formulae

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