5. If A + B = 45°, show that (1+tan A) (1+tan B) = 2.
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see the ans in pic above
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Now LHS = (1 + tan A) (1 + tan B)
= tan A + tan B + tan A tan B + 1
= (1 – tan A tan B) + (tan A tan B + 1) from (1)
= 2 = RHS
Step-by-step explanation:
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