Question

sin theta 3 /5 find the value of tan θ

Answer 1

tan theta = sin theta/ cos theta

Answer 2

\[\sin \theta=\frac{ Perpendicular }{ Hypotenuse }\]

using pythagorean theorem in above triangle
\[x ^{2}=5^{2}-3^{2}\]
\[x ^{2}=16\]
x=4
now,
\[\tan \theta=\frac{ Perpendicular }{ Base }\]
\[\tan \theta=\frac{ 3 }{ 4 }\]

Answer 3

\[\tan \left(\sin ^{-1}\left(\frac{3}{5}\right)\right)=\frac{3}{4} \]