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Q.




What is the value of the expression tan 48° ×  tan 23° ×  tan 42° ×  tan 67°?

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a

-1

b

1

c

0

d

None of these 

answer is B.

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Detailed Solution

Given, expression tan 48° ×  tan 23° ×  tan 42° ×  tan 67°.
We know that,
cotx=tan( 90 ∘ −x).  
The given expression becomes,
Question Image
The value of the expression  tan 48° ×  tan 23° ×  tan 42° ×  tan 67° is 1.
Therefore, the correct option is 2.
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