Question Bank - Mathematics

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If (1 + tan ?) (1 + tan 9?) = 2, then what is the value of tan(10?)?

A.
0
B.
1
C.
2
D.
Infinite

Solution:

Concept:If A + B = 45° then(1 + tan A)(1 + tan B) = 2Calculation:Given that,(1 + tan ?) (1 + tan 9?) = 2We know that, if A + B = 45° then(1 + tan A)(1 + tan B) = 2? ? + 9? = ?/4? 10? = ?/4Hence, required valuetan 10? = tan(?/4)? tan 10? = 1

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