Question

Two particles are projected at an angle π/4+Theta and π/4-theta.find the ratio of there ranges​

Answer 1

Answer:

They are equal (ratio is 1)

You can use the relation

sin (x +- y) = sin x cos y +- cos x sin y

and the range formula  R = V^2 sin (2 theta) / g

As an example let theta be 15 deg

Then pi / 4 + 15 = 60 deg and pi/4 - 15 = 30 deg

2 theta = 120 and 60 deg

sin 120 = sin 60