Question

L) simplify

sin²x ( cot²x + 1 )

Answer 1

Answer: 1.

Explanation:

`\displaystyle\\sin^2x(cot^2x+1)=\\\\sin^2x((cos^2x)/(sin^2x)+1)=\\\\(sin^2xcos^2x)/(sin^2x)+sin^2x=\\\\cos^2x+sin^2x=\\\\1.`