Question

Two parallel SHM’s represented by X1 = 20 sin 8πt cm and X2 = 10 sin (8πt + π/2 )cm are superposed on a particle . Determine the amplitude and epoch of the resultant SHM​

Answer 1

Explanation:

cosθ=35

or it could be cosθ=−35

Explanation:

since sinθ is negative, it can be in the third or

fourth quadrant

Drawing your right-angled triangle, place your θ in

one of three corners. Your longest side will be 3 and the side opposite the θ

will be -2 . Finally, using Pythagoras theorem, your last side should be 5

Now, if your triangle was in the third quadrant, you would

have cosθ=−35 since cosine is negative in the third

quadrant

But if your triangle was in the fourth quadrant, you would

have cosθ=35 since cosine is positive in the fourth

quadrant