Question

If x=2cosec^A-1 , y=cot^A then find value of x-y​

Answer 1

Answer:Cosec^2A

Step-by-step explanation:

Given;

x=2Cosec^2A-1

=2/(Sin^2A) -1

=(2-Sin^2A)/(Sin^2A)

And,

y=Cot^2A=Cos^2A/Sin^2A

Now, (x-y)={(2-Sin^2A)/(Sin^2A)}-{cos^2A/Sin^2A}

=(2-sin^2A-Cos^2A)/ Sin^2A

=(2-Sin^2A-1+Sin^2A)/Sin^2A

=1/Sin^2A=Cosec^2A