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Standard Values of Trigonometric Ratios

Two particles...

Question

Two particles are projected with same velocity but at angles of projection 35 and 55 . Their horizontal ranges are in the ratio _____

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Solution

formula of range = v^2 sin2theta/g
as particles have same velocity so V1=V1
on takin the ratio of ranges
R1/R1 = Sin2(theta1)/Sin2(theta2)
= Sin2×35/sin2×55
= sin70/sin110
= sin(180-70)/sin110
= sin110/sin110
=1

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