Question

If A + B = 45°, then (1 + TanA )(1 + TanB) = ___​

Answer 1

Step-by-step explanation:

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Answer 2

Answer:

2

Step-by-step explanation:

A=45°-B

[1+Tan(45°-B)][1+TanB]

[1+(Tan45-TanB)/1+tan45°TanB][1+TanB]

[1+(1-TanB)/1+TanB][1+TanB]

[(1+TanB+1-TanB)/1+TanB][1+TanB]

[2/1+TanB][1+TanB]

2

Hence

(1+TanA)(1+TanB)=2