Friday

August 29, 2014

August 29, 2014

Posted by **Anonymous** on Sunday, September 26, 2010 at 5:23pm.

- calculus -
**MathMate**, Sunday, September 26, 2010 at 5:44pmA helix r=(sin(t),cos(t),t) is a coil like a spring of radius 1 around the z-axis.

The coordinates in cartesian coordinates are:

x(t)=sin(t)

y(t)=cos(t)

z(t)=t

The distance from origin is

r=√(sin²(t)+cos²(t)+t²)

When it intersects a sphere of radius R, the following relationship applies:

sin²(t)+cos²(t)+t² = 37² ...(1)

Using sin²(x)+cos²(x)=1, (1) simplifies to

1+t²=37² ...(2)

Solve 2 for t and back substitute to find x(t), y(t) and z(t)

**Related Questions**

Calculus - At what points does the helix r = sin(t), cos(t), t intersect the ...

Calculus (Arc Length) - Consider the helix parametrized with the vector equation...

calculus - Find the points on the curve y= (cos x)/(2 + sin x) at which the ...

Math - Calculus - The identity below is significant because it relates 3 ...

TRIG! - Posted by hayden on Monday, February 23, 2009 at 4:05pm. sin^6 x + cos^6...

tigonometry - expres the following as sums and differences of sines or cosines ...

Mathematics - Trigonometric Identities - Let y represent theta Prove: 1 + 1/tan^...

algebra - Can someone please help me do this problem? That would be great! ...

trig - Reduce the following to the sine or cosine of one angle: (i) sin145*cos75...

Calculus 12th grade (double check my work please) - 1.)Find dy/dx when y= Ln (...