Question

The value of tan 20 × tan 40 × tan 80 is

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Answer 1

Answer:

As we know in the question there are 3 no , 20,40,80 which are related

40=(60–20),80= 60+20.

So we can write the equation as

Tan 20.tan(60–20).tan(60+20),

Which resembles tan A.tan (60-A).tan (60+A).= Tan(3A)

So answer is tan 60=√3

Answer 2

As we know in the question there are 3 no , 20,40,80 which are related

40=(60–20),80= 60+20.

So we can write the equation as

Tan 20.tan(60–20).tan(60+20),

Which resembles tan A.tan (60-A).tan (60+A).= Tan(3A)

So answer is tan 60=√3