1.

If sin A = 3/4 find the value of tan A​

Answer»

Step-by-step explanation:

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



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