1.

If tan A = √2 - 1 then find tan A / (1 + tan ²A)

Answer»

ANSWER:

TANA/(1+tan²A)

(√2-1)/(1+(√2-1)²

(√2-1)/(1+(2+1-2√2)

√2-1/1+3-2√2

√2-1/4-2√2

√2-1/2(2-√2)

√2-1/2(√2(√2-1))

√2-1/2√2(√2-1)

after cancelling

1/2√2

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