Question

In triangle ABC, right angled at A; AB = AC = 1 unit, write down all the T-ratios of angle B. CORRECT ANSWER ONLY​

Answer 1

Step-by-step explanation:

AB : AC = 1 :

2

⇒

AC

AB

=

2

1

∴ AB = x and AC =

2

x, for some x.

By Pythagoras theorem, we have

AC

2

=AB

2

+BC

2

⇒(

2

x)

2

=x

2

+BC

2

⇒BC

2

=2x

2

−x

2

=x

2

⇒BC=x

∴tanA=

AB

BC

=

x

x

=1

we have,

1+tan

2

A

tanA

=

1+1

2

1

=

2

1