Question

Find the sine ratio of $\theta$ in standard position whose terminal arm passes through $(24,7)$.

Answer 1

Given that the terminal arm passes through point $(24,7)$

Let the angle made by the arm with $X$ axis be $\theta$

We have $tan\theta =\frac{7-0}{24-0}=\frac{7}{24}$

Therefore the value of $sin\theta =\frac{7}{\sqrt{49+576}}=\frac{7}{25}$