Number of principal solution of equation tan ,3x - tan ,2x - tan, x = 0 , is

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Trigonometrical Equations

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Number of principal solution of the equation $tan \,3x - tan \,2x - tan\, x = 0$, is

A

$3$

B

$5$

C

$7$

D

more than $7$

Solution

$0, \pi , 2\pi , \frac{\pi }{3} ,\frac{2\pi }{3} , \frac{4\pi }{3},\frac{5\pi }{3}$ as given expression $= tan\, 3x \,tan \,2x \,tan\, x$

Standard 11

Mathematics

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