Question

If cosec A = 2 , find the value of :
1/tanA +
sinA/1+cos A​

Answer 1

Step-by-step explanation:

1+ Cot^2 A= 4

Cot^2 A= 3

Cot A= $\sqrt{3}$= 1/ Tan A   ; Tan A= 1/$\sqrt{3}$

If Tan A= 1/$\sqrt{3}$, Then A= $30^{o}$

Sin A= Sin $30^{o}$= 1/2

Cos A= Cos $30^{o}$= $\frac{\sqrt{3} }{2}$

The Equation:

=$\sqrt{3}$+ 1/2\1+$\frac{\sqrt{3} }{2}$=

=$\sqrt{3}$+ 1/$\sqrt{3}$

= 3/$\sqrt{3}$+1/$\sqrt{3}$

= 4/$\sqrt{3\\}$