Question

sin^2x cos^2y -cos^2x sin^2y =sin^2x-sin^2y​

Answer 1

Step-by-step explanation:

sin(a-b)= sina cosb -cosa sinb

Answer 2

Step-by-step explanation:

sin^2Xcos^2Y-cos^2Xsin^2Y

replacing cos^2X=1-sin^2X

& cos^2Y=1-sin^2Y

sin^2X(1-sin^2Y)-(1-sin^2X)sin^2Y

sin^2X-sin^2Xsin^2Y-sin^2Y+sin^2Xsin^2Y

on solving we will get

sin^2X-sin^2Y