Question

If sin A = /4



calculate cos A and tan A.​

Answer 1

Answer:

Given, sinA=

4

3

⇒

DC

BC

=

4

3

⇒BC=3k and AC=4k

where k is the constant of proportionality.

By Pythagoras theorem, we have

AB

2

=AC

2

−BC

2

=(4k)

2

−(3k)

2

=7k

2

⇒AB=

7

k

So, cosA=

AC

AB

=

4k

7

k

=

4

7

And tanA=

AB

BC

=

7

k

3k

=

7

3