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RE: Brain Teaser #11
Shining White Holmse: Pfff, that's simple Biggrin Though you forgot to specify if the values are degrees or radians, but judging from the values, they're degrees.

The result is:
sqrt(0.5) which is approximately 0,70710678118654752440084436210485

That's because it's the cos(90°)/tan(45°) results in zero, because cos(90°) is zero, so only sin(45°) is needed to calculate.

If you use a right triangle with hypotenuse length equal to 1 and with angle 45°, then two remaining sides are equal. Therefore:
c = 1
a = b = ?
Sides a and b represent sin(45°) and cos(45°) so
a = b = sin(45°) = cos(45°) = d

And from the Pythagorean we know that
c^2 = a^2 + b^2
Which is
1^2 = sin(45°)^2 + cos(45°)^2
But we know that they're equal so we can do this:
1 = d^2 + d^2
Which is
1 = 2(d^2)
And we need to know d, which equals both to sin(45°) and cos(45°), so we extract it:
1/2 = d^2
sqrt(1/2) = d
So we get
d = sqrt(0.5)
And we substituted sin(45°) with d so the final result is:
sin(45°) = sqrt(0.5)
I love creativity and creating, I love science and rational thought, I am an open atheist and avid self-learner.

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RE: Brain Teaser #12
(08-28-2011, 06:16 PM)Frooxius Wrote: Shining White Holmse: Pfff, that's simple Biggrin Though you forgot to specify if the values are degrees or radians, but judging from the values, they're degrees.

The result is:
sqrt(0.5) which is approximately 0,70710678118654752440084436210485

That's because it's the cos(90°)/tan(45°) results in zero, because cos(90°) is zero, so only sin(45°) is needed to calculate.

If you use a right triangle with hypotenuse length equal to 1 and with angle 45°, then two remaining sides are equal. Therefore:
c = 1
a = b = ?
Sides a and b represent sin(45°) and cos(45°) so
a = b = sin(45°) = cos(45°) = d

And from the Pythagorean we know that
c^2 = a^2 + b^2
Which is
1^2 = sin(45°)^2 + cos(45°)^2
But we know that they're equal so we can do this:
1 = d^2 + d^2
Which is
1 = 2(d^2)
And we need to know d, which equals both to sin(45°) and cos(45°), so we extract it:
1/2 = d^2
sqrt(1/2) = d
So we get
d = sqrt(0.5)
And we substituted sin(45°) with d so the final result is:
sin(45°) = sqrt(0.5)
WHAT?
where you learn theese things?
froxy too smart for me Smile
ThisBitch Wrote:m3 w4n75 70 h4cK F4C3|300|< ?
m3 15 pr0 1337 h4X0rr !

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RE: Brain Teaser #13
(08-28-2011, 06:16 PM)Frooxius Wrote: Shining White Holmse: Pfff, that's simple Biggrin Though you forgot to specify if the values are degrees or radians, but judging from the values, they're degrees.

The result is:
sqrt(0.5) which is approximately 0,70710678118654752440084436210485

That's because it's the cos(90°)/tan(45°) results in zero, because cos(90°) is zero, so only sin(45°) is needed to calculate.

If you use a right triangle with hypotenuse length equal to 1 and with angle 45°, then two remaining sides are equal. Therefore:
c = 1
a = b = ?
Sides a and b represent sin(45°) and cos(45°) so
a = b = sin(45°) = cos(45°) = d

And from the Pythagorean we know that
c^2 = a^2 + b^2
Which is
1^2 = sin(45°)^2 + cos(45°)^2
But we know that they're equal so we can do this:
1 = d^2 + d^2
Which is
1 = 2(d^2)
And we need to know d, which equals both to sin(45°) and cos(45°), so we extract it:
1/2 = d^2
sqrt(1/2) = d
So we get
d = sqrt(0.5)
And we substituted sin(45°) with d so the final result is:
sin(45°) = sqrt(0.5)
WHAT?
where you learn theese things?
froxy too smart for me Smile
ThisBitch Wrote:m3 w4n75 70 h4cK F4C3|300|< ?
m3 15 pr0 1337 h4X0rr !

Reply

RE: Brain Teaser #14
(08-28-2011, 06:16 PM)Frooxius Wrote: Shining White Holmse: Pfff, that's simple Biggrin Though you forgot to specify if the values are degrees or radians, but judging from the values, they're degrees.

The result is:
sqrt(0.5) which is approximately 0,70710678118654752440084436210485

That's because it's the cos(90°)/tan(45°) results in zero, because cos(90°) is zero, so only sin(45°) is needed to calculate.

If you use a right triangle with hypotenuse length equal to 1 and with angle 45°, then two remaining sides are equal. Therefore:
c = 1
a = b = ?
Sides a and b represent sin(45°) and cos(45°) so
a = b = sin(45°) = cos(45°) = d

And from the Pythagorean we know that
c^2 = a^2 + b^2
Which is
1^2 = sin(45°)^2 + cos(45°)^2
But we know that they're equal so we can do this:
1 = d^2 + d^2
Which is
1 = 2(d^2)
And we need to know d, which equals both to sin(45°) and cos(45°), so we extract it:
1/2 = d^2
sqrt(1/2) = d
So we get
d = sqrt(0.5)
And we substituted sin(45°) with d so the final result is:
sin(45°) = sqrt(0.5)

Can I hire you to do my maths homework?

Reply

RE: Brain Teaser #15
(08-28-2011, 06:16 PM)Frooxius Wrote: Shining White Holmse: Pfff, that's simple Biggrin Though you forgot to specify if the values are degrees or radians, but judging from the values, they're degrees.

The result is:
sqrt(0.5) which is approximately 0,70710678118654752440084436210485

That's because it's the cos(90°)/tan(45°) results in zero, because cos(90°) is zero, so only sin(45°) is needed to calculate.

If you use a right triangle with hypotenuse length equal to 1 and with angle 45°, then two remaining sides are equal. Therefore:
c = 1
a = b = ?
Sides a and b represent sin(45°) and cos(45°) so
a = b = sin(45°) = cos(45°) = d

And from the Pythagorean we know that
c^2 = a^2 + b^2
Which is
1^2 = sin(45°)^2 + cos(45°)^2
But we know that they're equal so we can do this:
1 = d^2 + d^2
Which is
1 = 2(d^2)
And we need to know d, which equals both to sin(45°) and cos(45°), so we extract it:
1/2 = d^2
sqrt(1/2) = d
So we get
d = sqrt(0.5)
And we substituted sin(45°) with d so the final result is:
sin(45°) = sqrt(0.5)

Can I hire you to do my maths homework?

Reply

RE: Brain Teaser #16
(08-28-2011, 06:16 PM)Frooxius Wrote: Shining White Holmse: Pfff, that's simple Biggrin Though you forgot to specify if the values are degrees or radians, but judging from the values, they're degrees.

The result is:
sqrt(0.5) which is approximately 0,70710678118654752440084436210485

That's because it's the cos(90°)/tan(45°) results in zero, because cos(90°) is zero, so only sin(45°) is needed to calculate.

If you use a right triangle with hypotenuse length equal to 1 and with angle 45°, then two remaining sides are equal. Therefore:
c = 1
a = b = ?
Sides a and b represent sin(45°) and cos(45°) so
a = b = sin(45°) = cos(45°) = d

And from the Pythagorean we know that
c^2 = a^2 + b^2
Which is
1^2 = sin(45°)^2 + cos(45°)^2
But we know that they're equal so we can do this:
1 = d^2 + d^2
Which is
1 = 2(d^2)
And we need to know d, which equals both to sin(45°) and cos(45°), so we extract it:
1/2 = d^2
sqrt(1/2) = d
So we get
d = sqrt(0.5)
And we substituted sin(45°) with d so the final result is:
sin(45°) = sqrt(0.5)

you gave full description Biggrin Biggrin Biggrin < i just said its for begin
it's your thread buddy , but hope to see some nice mathmatics Biggrin

[Image: Wfxdx.png]

Reply

RE: Brain Teaser #17
(08-28-2011, 06:16 PM)Frooxius Wrote: Shining White Holmse: Pfff, that's simple Biggrin Though you forgot to specify if the values are degrees or radians, but judging from the values, they're degrees.

The result is:
sqrt(0.5) which is approximately 0,70710678118654752440084436210485

That's because it's the cos(90°)/tan(45°) results in zero, because cos(90°) is zero, so only sin(45°) is needed to calculate.

If you use a right triangle with hypotenuse length equal to 1 and with angle 45°, then two remaining sides are equal. Therefore:
c = 1
a = b = ?
Sides a and b represent sin(45°) and cos(45°) so
a = b = sin(45°) = cos(45°) = d

And from the Pythagorean we know that
c^2 = a^2 + b^2
Which is
1^2 = sin(45°)^2 + cos(45°)^2
But we know that they're equal so we can do this:
1 = d^2 + d^2
Which is
1 = 2(d^2)
And we need to know d, which equals both to sin(45°) and cos(45°), so we extract it:
1/2 = d^2
sqrt(1/2) = d
So we get
d = sqrt(0.5)
And we substituted sin(45°) with d so the final result is:
sin(45°) = sqrt(0.5)

you gave full description Biggrin Biggrin Biggrin < i just said its for begin
it's your thread buddy , but hope to see some nice mathmatics Biggrin

[Image: Wfxdx.png]

Reply

RE: Brain Teaser #18
I don't want to step on anyone's toes but I have a riddle I like to try and stump people with if you don't mind my posting it here?
I think computer viruses should count as life. I think it says something about human nature that the only form of life we have created so far is purely destructive. We've created life in our own image.
~Stephen Hawking

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RE: Brain Teaser #19
I don't want to step on anyone's toes but I have a riddle I like to try and stump people with if you don't mind my posting it here?
I think computer viruses should count as life. I think it says something about human nature that the only form of life we have created so far is purely destructive. We've created life in our own image.
~Stephen Hawking

Reply

RE: Brain Teaser #20
just write it down and we try to solve it.

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