(08-29-2011, 09:01 PM)ynot71121 Wrote: Three souls are trapped in a house of pain. They come to the exit and a spirit appears before them.

The first soul attempts to leave. The spirit says 12 and the soul says 6... it is allowed to leave
The second soul attempts to leave. The spirit says 6 and the soul says 3... it is allowed to leave
The third soul attempts to leave. The spirit says 10 and the soul says 5... it is trapped forever

What is the answer to 10 and why?

(08-29-2011, 09:01 PM)ynot71121 Wrote: Three souls are trapped in a house of pain. They come to the exit and a spirit appears before them.

The first soul attempts to leave. The spirit says 12 and the soul says 6... it is allowed to leave
The second soul attempts to leave. The spirit says 6 and the soul says 3... it is allowed to leave
The third soul attempts to leave. The spirit says 10 and the soul says 5... it is trapped forever

What is the answer to 10 and why?

(08-28-2011, 06:28 PM)DeffoN Wrote:

(08-28-2011, 06:16 PM)Frooxius Wrote: Shining White Holmse: Pfff, that's simple 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

(08-28-2011, 06:28 PM)DeffoN Wrote:

(08-28-2011, 06:16 PM)Frooxius Wrote: Shining White Holmse: Pfff, that's simple 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