2023-01-01

What is $\frac{\mathrm{tan}C}{\mathrm{sin}C}$ is equal to?

Marvin Snyder

Expert

Trigonometric ratios and their relationship:
Known to us,
$\mathrm{tan}C=\frac{\mathrm{sin}C}{\mathrm{cos}C}$
$\therefore \frac{\mathrm{tan}C}{\mathrm{sin}C}=\frac{\frac{\mathrm{sin}C}{\mathrm{cos}C}}{\mathrm{sin}C}=\frac{\mathrm{sin}C}{\mathrm{cos}C}×\frac{1}{\mathrm{sin}C}=\frac{1}{\mathrm{cos}C}=\mathrm{sec}C\left[\because \frac{1}{\mathrm{cos}C}=\mathrm{sec}C\right]$
Therefore, the given expression $\frac{\mathrm{tan}C}{\mathrm{sin}C}$ is equal to $\mathrm{sec}C$

Do you have a similar question?

Recalculate according to your conditions!