Solve this: Q 4) If tan-13a2x-x3a3-3ax2=k tanxa Find k - Maths -

Question

Solve this:
Q 4) If tan - 1 3 a 2 x - x 3 a 3 - 3 a x 2 = k   tan x a Find
k

Neha Sethi · Accepted Answer

Dear student
We havetan-13a2x-x3a3-3ax2=ktanxaConsider,tan-13a2x-x3a3-3ax2Put x=atanptan-13a2atanp-a3tan3pa3-3a a2tan2p=tan-13a3tanp-a3tan3pa3-3a3tan2p=tan-13tanp-tan3p1-3tan2p=tan-1tan3p=3p=3tan-1xaOn comparing with RHS, we get=ktan-1xawe get, k=3Note:tan3A=3tanA-tan3A1-3tan2ADisclaimer:There seems to be some mistake in RHS , it will be ktan-1xa
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Solve this: Q.4) If tan - 1 3 a 2 x - x 3 a 3 - 3 a x 2 = k tan x a . Find k.

Solve this:
Q.4) If $\tan^{- 1} (\frac{3 a^{2} x - x^{3}}{a^{3} - 3 a x^{2}}) = k \tan (\frac{x}{a})$ . Find k.