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0 votes
11.1k views
in Trigonometric Functions by (46.2k points)

If A + B = π/4 then value (1 + tan A) (1 + tan B) will be:

(A) 3

(B) 2

(C) 4

(D) 1

1 Answer

+1 vote
by (47.9k points)
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Best answer

Answer is (B)

(1 + tan A) (1 + tan B)

= 1 + tan A + tan B + tan A tan B ….. (i)

From equation (1) and (2)

(1 + tan A) (1 + tan B) = 2.

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