Question

Q53. If A + B = 45 °, then find 2(1 + )(1 + tan) = ?

(a) 2

(b) 1

(c) 0

(d) 4

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Answer 1

Answer:

4 this is the correct answer may be I guess

Answer 2

$\huge\mathfrak\pink{Solution}$

Given A+B=45

{Take tan on both the sides }

tan(A+B) = tan45

tanA+tanB/1- tanA tanB = 1

tanA+tanB=1-tanA.tanB

tanA+tanB+tanA.tanB=1

adding "1" on both sides

1+ tanA+tanB+tanA.tanB=1+1

(1 + tanA)+tanB(1+tanA).=2

(1+tanA)(1+tanB)=2

Hence proved. ✓