tan 5x - tan 3x - tan 2x is equal to | vedclass

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(A) We know that $5x = 3x + 2x$.Taking tangent on both sides,we get $	an(5x) = 	an(3x + 2x)$.Using the formula $	an(A + B) = \frac{	an A + 	an B}

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$	an 2x 	an 3x 	an 5x$

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(A) We know that $5x = 3x + 2x$.Taking tangent on both sides,we get $	an(5x) = 	an(3x + 2x)$.Using the formula $	an(A + B) = \frac{	an A + 	an B}{1 - 	an A 	an B}$,we have:$	an 5x = \frac{	an 3x + 	an 2x}{1 - 	an 3x 	an 2x}$.Cross-multiplying gives:$	an 5x(1 - 	an 3x 	an 2x) = 	an 3x + 	an 2x$.$	an 5x - 	an 5x 	an 3x 	an 2x = 	an 3x + 	an 2x$.Rearranging the terms,we get:$	an 5x - 	an 3x - 	an 2x = 	an 5x 	an 3x 	an 2x$.

$\tan 5x - \tan 3x - \tan 2x$ is equal to

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