tan 5x tan 3x tan 2x = ? | vedclass

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Question

(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

Vedclass · Accepted Answer

$	an 5x - 	an 3x - 	an 2x$

Vedclass · Answer

(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$.

$\tan 5x \tan 3x \tan 2x = ?$

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