Math, asked by mithileshlohar09, 7 months ago

The value of tan 20 * tan 40 * tan 80 is​

Answers

Answered by hanshu1234
1

Step-by-step explanation:

As we know that 

sinθsin(60∘−θ)sin(60∘+θ)=41sin3θ

cosθcos(60∘−θ)cos(60∘+θ)=41cos3θ

tanθtan(60∘−θ)tan(60∘+θ)=cosθsinθ×cos(60∘−θ)sin(60∘−θ)×cos(60∘+θ)sin(60∘+θ)

                                                              =cosθcos(60∘−θ)cos(60∘+θ)sinθsin(60∘−θ)sin(60∘+θ)

                                                              =41cos3θ41sin3θ=tan3θ

Put θ=20∘

Answered by GamerFreefire
0

Step-by-step explanation:

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