Do all planets revolve around the sun's equator?

Basically yes and that is because of how the solar system formed. Imagine first there was a giant cloud of dust and debris. Slowly it collapsed inwards and a slight spin began. as the spin increased the cloud began to flatten to make a sort of fuzzy disk. read more

For the most part, all of the planets and other objects in the solar system orbit the sun in one plane called the ecliptic. Plane of the Ecliptic There are exceptions. Pluto is a famous one. Its inclination is about 17 degrees. Many comets orbit the sun in planes well off the ecliptic. Here's an animation of comet Ison from this past year. read more

An alternative view: No planets revolve around sun’s equator. It is physically impossible for a free macro body to revolve around another moving body. Sun is a moving body and planets are free bodies. However, planets orbit (approximately) about the sun’s equator in wavy paths. read more

The orbits are all slightly tilted with respect to each other and to the Sun's equator. but not by very much - single figures of degrees. These are what you are calling latitudes. The longitudes (orientations of the intersections of the orbits) are spread all the way round as well. read more