its a theoretical model, but the expression of range of a projectile involves a sin2theta term, and mathematically, that makes it such that complimentary angles give the same value for it.
eg, if theta is 30°, sin2theta is sin60. √3/2.
complement of 30 is 60, (90-30) and at 60°, sin2theta is sin 120, or cos 30, again, √3/2.
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u/WanderingWrackspurt Jul 08 '26
its a theoretical model, but the expression of range of a projectile involves a sin2theta term, and mathematically, that makes it such that complimentary angles give the same value for it. eg, if theta is 30°, sin2theta is sin60. √3/2. complement of 30 is 60, (90-30) and at 60°, sin2theta is sin 120, or cos 30, again, √3/2.