*Sin & cos as projections
Actually cos & sin gives us an ideas of projections (shadows) of a line on x & y axis respectively. Consider a line of length L making an anticlockwise angle q with + x axis. Let Lx (= ON) &Ly (= OM) be its x & y projections, then
If θ is increased from 00 to 900, then cosθ decreases & sinθ increases.
sin2 θ + cos2 θ = 1
cosec2 θ – cot2 θ = 1
For integral values of n
*Quadrant system Signs of T – ratios are actually sign of cartesian coordinate system.
<Angle measurement
^A long horizontal fixed wire carries a current of 100 A. Directly above and parallel to it is another wire carrying a current of 20 A and weighing 0.04 N/m. The separation between the two wires so that the upper wire is just supported by the magnetic repulsion is
| A long horizontal fixed wire carries a current of 100 A. Directly above and parallel to it is another wire carrying a current of 20 A and weighing 0.04 N/m. The separation between the two wires so that the upper wire is just supported by the magnetic repulsion is | |||||
| (A.) | 3 cm | (B.) | 2 cm | ||
| (C.) | 1 cm | (D.) | 4 cm | ||
study of charges producing electric field that does not change with time
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