Question

√3(3 tan 10° - tan³ 10°) = (1 - 3tan² 10°)​

Answer 1

Answer:

We have, tan(x+y)=tanx+tany1−tanxtany............(⋄).

Letting x=y=A, we get,

tan(A+A)=tanA+tanA1−tanA⋅tanA.

∴tan2A=2tanA1−tan2A............(⋄1).

Now, we take, in (⋄),x=2A,and,y=A.

∴tan(2A+A)=tan2A+tanA1−tan2A⋅tanA.

∴tan3A=2tanA1−tan2A+tanA1−2tanA1−tan2A⋅tanA,

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Step-by-step explanation:

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