If sinθ = 12/13 and θ is an acute angle, find cotθ.

Step-by-step explanation:

We are given that:

Where θ is an acute angle, and we want to find cot(θ).

Recall that sine is the ratio of the opposite side over the hypotenuse. In other words, our opposite side is measures 12 units and our hypotenuse measures 13 units.

Find the adjacent side:

Hence, our adjacent side is 5, our opposite side is 12, and our hypotenuse is 13.

Recall that cotangent is the ratio of the adjacent side to the opposite side. Therefore:

In conclusion:

step-by-step explanation:

we can use this expression to calculate the energy gain as a particle moves with a field or the energy loss as it moves against it. (note that it is also used to define the electron-volt, a unit of energy equal to that gained by an electron as it falls through a pd of 1 v, i.e. w = 1 ev = 1.6 10-19 c 1 v = 1.6 10-19j).in fact this expression is really nothing more than the statement that potential is the potential energy per unit charge. in this case, v= w/qis simply stating that the change in potential energy(or work done) per unit charge is equal to the change in potential (or potential difference), v.student questions: uniform electric fields2electron beamcathode+5 kvanode0 v