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If A + B = 45°, find the value of (1 + tan A)(1 + tan B).
A4
B1/2
C1
D2
Answer & Solution
Correct answer: D. 2
tan 45° = 1 gives tanA + tanB = 1 − tanA tanB, so the product 1 + tanA + tanB + tanA tanB equals 2.
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