For angles theta and (90 - theta):
- R(theta) = *sin
- R(90-theta) = sin(2(90-theta))/g = *sin = *sin
Therefore R(theta) = R(90-theta).
But heights differ:
- H(theta) = *sin^2$$\frac{theta}{(2g)}
- H(90-theta) = *cos^2$$\frac{theta}{(2g)}
- Ratio: H(90-theta) = (theta)
And flight times differ:
- T(theta) = 2u*sin
- T(90-theta) = 2u*cos
- Ratio: T(90-theta) = tan(theta)
JEE favorite: RH relationship: R = 4H*cot(theta)