If $tan A =\frac{2}{3}$, then find sinA.
Answer & explanation
Correct answer: option 2
tan A = \(\frac{2}{3}\)
{ we know, tanθ = \(\frac{P}{B}\) }
By using pythagoras theorem,
P² + B² = H²
2² + 3² = H²
H = √13
Now,
sinA
= \(\frac{P}{H}\)
= \(\frac{2}{ √13 }\)