Question

(3) Show that, sin ^2 (1 + cot^2) = 1​

Answer 1

sin^2 X(1+cot^2 X)=1

sin^2 X+sin^2 X cot^2 X =1

sin^2 X+sin^2 X (cos^2 X / sin^2 X)=1

sin^2 X+ cos^2 X=1

Answer 2

Step-by-step explanation:

cosec²A-cot²A=1

cosecA²=1+cot²A

sinA reciprocal is cosecA

sinA*cosecA=1

similarly

sin²Acosec²A=1

sin²A(1+cot²A). = sin²A(cosecA²)=1