If sec $\theta$ = $\frac{25}{7}$ then sin $\theta$ = ?

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KollegeApply · Accepted Answer

bb($\frac{24}{25}$) Explanation: sec $\theta$ = $\frac{25}{7}$ $\Rightarrow$ cos $\theta$ = $\frac{7}{25}$ $\therefore$ sin2$\theta$ = (1 – cos2$\theta$) = (1 - $\frac{49}{625}$) = $\frac{576}{625}$ $\Rightarrow$ sin $\theta$ = sqrt($\frac{576}{625}$) $\Rightarrow$ sin $\theta$ = $\frac{24}{25}$

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