Answer:
[tex]1)\\cosec^2x\\2)\\\frac{1}{sin^2x} \\3)\\\frac{1}{1-cos^2x}[/tex]
Step-by-step explanation:
Given :
[tex]cot ^2x+1\\[/tex]
Now,
1)
[tex]cot^2x+1\\\frac{cos^2x}{sin^2x} +\frac{sin^2x}{sin^2x} \\\frac{cos^2x+sin^2x}{sin^2x} \\\frac{1}{sin^2x} \\csc^2x[/tex]
2)
[tex]\frac{1}{sin^2x} =1+cot^2x[/tex]
3)
[tex]\frac{1}{1-cos^2x} =1+cot^2x[/tex]
