Example 15
Find the equation of a straight line having x- and y- intercepts
3 and -2 respectively.
Solution :
We have a = 3 and b = -2 then
-2x + 3y = 1 i.e. 2x - 3y + 1 = 0 (general form)
Example 16
f (t) = 4.5 [ sin p t + ˝ sin 2p t ] then show that
Solution :
f (t) = 4.5 [ sin p t + ˝ sin 2 p t ]
\
= 4.5 [ sin (2p + pt) + ˝ sin ( 4p + 2 pt) ]
= 4.5 [ sin (2 p + pt) + ˝ sin 2 ( 2 p + 2 pt) ]
since sin2 ( 2 p + 2 pt) = sin p ..... periodic function
= 4.5 [ sin pt + ˝ sin 2pt ]
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