Question

Tan thetha + cot thetha = cosec thetha • sec thetha​

Answer 1

Answer:

see explanation

Step-by-step explanation:

Using the identities

tan x = $\frac{sinx}{cosx}$ , cot x = $\frac{cosx}{sinx}$ , cosec x = $\frac{1}{sinx}$ , sec x = $\frac{1}{cosx}$

Consider the left side

tanθ + cotθ

= $\frac{sin0}{cos0}$ + $\frac{cos0}{sin0}$

= $\frac{sin^20+cos^20}{sin0cos0}$

= $\frac{1}{sin0cos0}$

= $\frac{1}{sin0}$ × $\frac{1}{cos0}$

= cosecθ × secθ

= right side , thus verified