Question

find the value of (tan 2 tan 4 tan 6....tan 88)

Answer 1

A+B=90degrees---->tanA.tanB=1

tan2.tan88=1

tan3.tan87=1

like that we can proceed to get answer 1

Answer 2

Our required value is 1.

Step-by-step explanation:

Since we have given that

(tan 2 tan 4 tan 6....tan 88)

As we know that

tan x tan y = 1, where, x+y = 90°

And we can see that

tan 2 tan 88 =1

Similarly,

tan 4 tan 86 = 1

So, it means,

(tan 2 tan 4 tan 6....tan 88) = 1

Hence, our required value is 1.

# learn more:

Find the value of tan 1° tan 2° tan 3° ............. tan 88° tan 89°

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