Question

what is Tan C / Sin C is equal to??

Answer 1

Answer:

$\text{The value of }\frac{\tan C}{\sin C}\text{ is secC}$

Step-by-step explanation:

$\text{Given the ratio } \frac{\tan C}{\sin C}\text{ we have to simplify the above ratio}$

$\frac{\tan C}{\sin C}$

$As, \tan \theta=\frac{\sin \theta}{\cos \theta}$

$\frac{\tan C}{\sin C}$

$=\frac{\sin C}{\cos C}\times \frac{1}{\sin C}$

$=\frac{1}{\cos C}$

$=\sec C$

$\text{Hence, the value of }\frac{\tan C}{\sin C}\text{ is secC}$

Answer 2

Sec C is the equal to $\bold{\frac{\tan C}{\sin C}}$

Given:

$\frac{\tan C}{\sin C}$

To find:

$\frac{\tan C}{\sin C} = ?$

Solution:

Given $\frac{\tan C}{\sin C}$

First step to find the value of given identity is to substitute the formula separately tan C and then simplifying the answer we get value which is equal to the given identity

To find the value of $\frac{\tan C}{\sin C}$ as we know that $\tan C=\frac{\sin C}{\cos C}$ now dividing the value of $\frac{\sin C}{\cos C}$  by sin C

$\frac{\sin C}{\cos C} \div \sin C=\frac{\sin C}{\cos C} \times \frac{1}{\sin C}=\frac{1}{\cos C}=\sec C$

Therefore, the value of $\bold{\frac{\tan C}{\sin C}}$  is equal to secC.