Question

if sinA =3/4 find tan A​

Answer 1

Answer:

Tan = 3/√7

Step-by-step explanation:

by applying pythagoras theorem.

AB^2+BC^2=AC^2

3^2+BC^2=4^2

9+BC^2=16

BC^2=7

BC=√7

Tan A=3/√7

Answer 2

Well. To calculate tan x, we have various ways to do so. Here is one way :

Given, sin A = 3/4

As we know ,

sin² x + cos² x = 1

(3/4)² + cos² A = 1

9/12 + cos² A = 1

cos² A = 1 – 9/12

cos² A = (12 – 9) / 12 = 3/12 = 1/4

cos A =

$\sqrt{ \frac{1}{4} }$

cos A = 1/2

Now, tan A = sin A / cos A

= 3/ 4 ÷ 1/ 2

= 3/ 4 × 2

= 3/ 2