Maths trigonometry

posted by .

using basic trigonometry derive the following equations, which are used to convert cartesian to polar coordinates and vice versa. why is the cos(phi)in the x term?

x = R cos (phi) sin (lamda)
y = R sin (phi)

they are used in orthogonal projection of a spherical surface to a flat surface in the (x y) plane.

where (phi)=latitude
(lamda)=longitude

  • Maths trigonometry -

    wikipedia has a nice article explaining this projection. Your example uses an origin of (0,0) for the projection, reducing the complexity of the equations considerably.

  • Maths trigonometry -

    Graph the oriented angle in standard position.

    4

Respond to this Question

First Name
School Subject
Your Answer

Similar Questions

  1. tigonometry

    expres the following as sums and differences of sines or cosines cos8t * sin2t sin(a+b) = sin(a)cos(b) + cos(a)sin(b) replacing by by -b and using that cos(-b)= cos(b) sin(-b)= -sin(b) gives: sin(a-b) = sin(a)cos(b) - cos(a)sin(b) …
  2. algebra

    Can someone please help me do this problem?
  3. calculus

    We are not going to do that work for you, but will be glad to help you. The unit sphere is the sphere with radius 1 centered in the origin. They give you the coordinates of a vector. Compute the dot product of the vector and the local …
  4. Maths - Polar Coordinate Systems

    I've received an assignment to investigate the polar coordinate system compared to the cartesian one. Theres a question that asks you to investigate into how to convert polar coordinates into cartesian. From my text book, I know in …
  5. Trigonometry

    Does anyone have a good website that shows the proofs for these equations?
  6. TRIG!

    Posted by hayden on Monday, February 23, 2009 at 4:05pm. sin^6 x + cos^6 x=1 - (3/4)sin^2 2x work on one side only! Responses Trig please help! - Reiny, Monday, February 23, 2009 at 4:27pm LS looks like the sum of cubes sin^6 x + cos^6 …
  7. Calculus

    I wanted to confirm that I solved these problems correctly (we had to convert the polar curves to Cartesian equations). 1.rcos(theta)=1 x=1 2.r=2*sin(theta)+2*cos(theta) r^2=2rsin(theta)+2rcos(theta) x^2+y^2=2y+2x (a little unsure …
  8. Precalculs

    I have no idea how to do these type of problems. -------Problem-------- Solve each equation on the interval 0 less than or equal to theta less than 2 pi 42. SQRT(3) sin theta + cos theta = 1 ---------------------- There is an example …
  9. Calculus

    Evaluate, in spherical coordinates, the triple integral of f(rho,theta,phi)=cos (phi) , over the region 3<rho<7, 0<theta<2pi, 0<phi<pi/3. I used the equation cos (phi)*sin(phi)*rho d(rho)d(phi)d(theta) with the given …
  10. Climate Physics

    Find the insolation in Wm^-2 at summer solstice for a low obliquity of 22 degrees?

More Similar Questions