Question

if tenA=4/3then sinA will be ____

Answer 1

Answer:

Step-by-step explanation:

Given that,

tan A = 4/3

By using Pythagoras theorem

AC² = AB² + BC²

AC² = 4² + 3²

AC² = 16 + 9

AC² = 25

AC = √25

AC = 5

∴ sin A = 4/5 is the answer.

Answer 2

Answer:

The value of sin A is $\frac{4}{5}$

Step-by-step explanation:

Here we have been given that the value of tanA is 4/3

We know that the formula of tan θ is as below:

tan θ = $\frac{perpendicular}{base}$ = $\frac{4}{3}$

Therefore in the right-angled triangle using Pythagoras theorem we have,

Perpendicular = p

Base = b

Hypotenuse = h

And we have,

$h^{2} = p^{2} + b^{2}$

⇒ $h^{2} = 4^{2} + 3^{2}$

⇒ $h^{2} = 16 +9$

⇒ $h^{2} = 25$

⇒ $h= \sqrt{25}$

⇒ h = 5

Therefore we have,

sin θ = $\frac{p}{h}$

sin A = $\frac{4}{5}$

The value of sin A is $\frac{4}{5}$