Question

Sinx ×cosx(tanx+cotx)= 1

Answer 1

Answer:

,

Step-by-step explanation:

firstly solve bracket then solve multiplucation

Answer 2

Answer:

$sin \: x \times cosx \times ( \frac{sinx}{cosx} + \frac{cosx}{sinx)}$

$= sinx.cosx. (\frac{sinx}{cosx} + \frac{cosx}{sinx})$

lcm

$sin \: x.cos \: x.( \frac{ {sin}^{2}x + {cos}^{2} x}{sinx \: cosx)}$

$= sinx.cosx.( \frac{1}{sinx \times cosx)}$

$where. {sin}^{2} x + {cos}^{2} x = 1$

$= 1$

lhs =rhs

hence proved