Question

ifif x sin cube theta + Y cos cube theta equal to sin theta cos theta and x sin theta equal to Y cos theta then prove that X square + Y square equal to 1 ​

Answer 1

Xsin³∅ + ycos³∅ = sin∅. cos∅
x.sin³∅ + cos²∅.(ycos∅) = sin∅.cos∅
use xsin∅= ycos∅ in above

xsin³∅ + cos²∅.xsin∅ = sin∅.cos∅
xsin∅( sin²∅ + cos²∅) = sin∅.cos∅
xsin∅ = sin∅.cos∅
x = cos∅
so, y = sin∅

now we know,
sin²∅ + cos²∅ = 1
put sin∅ = y
cos∅ = x

hence, x² + y² = 1

Answer 2

Step-by-step explanation:

here is your answer best of luck