Question

if 3 cot A =4 , find the value of cosec sq A+1/cosec sq A-1

Answer 1

Cot A=4/3

CotA=4/3=base/height

Let base =4x and height be 3x

By Pythagoras theorem,

Hypotenuse =5x


Cosec²A+1=hypotenuse/height +1

Cosec²A+1=5x/3x +1 =(5x+3x)/3x

Cosec²A=8x/3x=8/3



Cosec²-1=(5x-3x) /3x

Cosec²A =2x/3x=2/3


(8/3)/(2/3)

(8*3)/(3*2)

=8/2

=4



4 is your answer


I hope this much will help you

Answer 2

Hope this helps you !