Question

In right angle triangle ABC, if BC is 'a'
and angle A = theta then (AB) x (AC) is​

Answer 1

Answer:

We have,

AB=2cm and BC=1cm

Using Pythagoras theorem in ΔCAB, we have

AC

2

=AB

2

+BC

2

⇒AC

2

=2

2

+1=5

⇒AC=

5

Thus, Base=BC=1cm, Perpendicular =AB=2cm

and, Hypotenuse =AC=

5

cm

sinθ=

AC

AB

=

5

2

, and tan θ=

BC

AB

=

1

2

=2

Now, sin

2

θ+tan

2

θ=(sinθ)

2

+(tanθ)

2

=(

5

2

)

2

+(2)

2

=

5

4

+4=

5

24