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If tan a theta-tan b theta=0, then prove...

If `tan a theta-tan b theta=0`, then prove that the values of `theta` forms an A.P.

Text Solution

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We have `tan a theta = tan b theta`
`rArr a theta = n pi + b theta, n in Z`
`rArr (a -b) theta = n pi`
`rArr n pi//(a -b) = theta`
Thus, the values of `theta` form an A.P. with common difference `pi//(a -b)`
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