2 years ago

ANSWER THIS QUICK QUESTION FOR 30 POINTS!

Mathematics

1 answer:

nika2105 [10]2 years ago

4 0

In triangle A B C

sides A B and B C are formed an angle ABC or angle B

Answer

angle B

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Plzzz hurry up and help me if A+B=45<br>prove that <br>(1+tanA)(1+tanB)=2

Solnce55 [7]

Answer:

see explanation

Step-by-step explanation:

If A +B = 45° then tan(A+B) = tan45° = 1

Expanding (1 + tanA)(1 + tanB)

= 1 + tanA + tanB + tanAtanB → (1)

Using the Addition formula for tan(A + B)

tan(A+B) = $\frac{tanA+tanB}{1-tanAtanB}$ = 1 ← from above

Hence

tanA + tanB = 1 - tanAtanB ( add tanAtanB to both sides )

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