Question

If tan A=√2-1, then find
tan A ÷ ( 1 + tan^2 A )​

Answer 1

Answer:

Answer is 3/5

Step-by-step explanation:

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Answer 2

Answer:

tanA=

2

−1

tanA=

AB

BC

=

1

2−1

AC

2

=BA

2

+BC

2

=1

2

+(

2

−1)

2

=1+2−2

2

+1

AC=

4−2

2

sinA=

AC

BC

=

4−2

2

2

−1

cosA=

AC

AB

=

4−2

2

1

sinA×cosA=

4−2

2

2

−1

×

4−2

2

1

=

4−2

2

2

−1

=

2

2

(

2

−1)

2

−1

=

2

2

1

×

2

2

=

4

2

cosA×

cosA

sinA×cosA

=

4

2

Multiply numerator & denominator by cosA

sec

2

A

tanA

=

4

2

⇒

1+tan

2

A

tanA

=

4

2

Step-by-step explanation:

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