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Find the value of the expression: tan 9° × tan 21° × tan 60° × tan 69° × tan 81°
Question

Find the value of the expression: tan 9° × tan 21° × tan 60° × tan 69° × tan 81°

A.

1/√3

B.

√3

C.

0

D.

1

Correct option is B

Formula:

Use the identity:
tan θ × tan (90° − θ) = 1

Solution:
We group the angles as complementary pairs:

tan 9° × tan 81° = 1 (since 9° + 81° = 90°)

tan 21° × tan 69° = 1 (since 21° + 69° = 90°)

tan 60° = √3

Now multiply all values:
1 × 1 × √3 = √3

Final Answer:
(B) √3

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