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Unformatted text preview: plane, and g is the acceleration due to gravity. Find the value of θ for which R
is maximum, (u, α, and g being constants), and ﬁnd the maximum value of R.
20. Two sine waves are given by the formulae y1 = 2 sin 5t, y2 = 2 sin 7t.
Express (y1 + y2 ) as a product and sketch the graph of the function (y1 + y2 ) for values of t
from t = 0 to t = 3π .
21. Two directionﬁnding stations A and B are in a horizontal plane and A is d meters due East of
B . Show that when the direction of an aeroplane ﬂying at an altitude of h meters is α from A
and β from B (each direction being measured as a...
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 Spring '13
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