Question

CosA cotA/1-sinA=1+cosecA?

Answer 1

Please see below.

Explanation:

YOUR QUESTION.:

`CosA cotA/1-sinA=1+cosecA`

`"I THINK YOU HAVE DONE SOME PRINTING MISTAKE."`

`"Answer for the question:"`

`color(violet)((CosA cotA)/(1-sinA)=1+cosecA)`

Take,

`LHS=(CosA color(blue)(cotA))/(1-sinA)`

`=(cosAcolor(blue)((cosA/sinA)))/(1-sinA)...to[as,color(blue)(cotA=cosA/sinA)]`

`=color(red)(cos^2A)/(sinA(1-sinA) )...to[where, color(red)(cos^2A=1-sin^2A) ]`

`=color(red)((1-sin^2A))/(sinA(1-sinA)`

`=(cancel((1-sinA))(1+sinA))/(sinAcancel((1-sinA)))`

`=(1+sinA)/sinA`

`=1/sinA+sinA/sinA`

`=cosecA+1`

`=RHS`