Question

please solve this trignometry question.... no spamming
I'll mark brainliest...

Answer 1

Given:
xsin³∅ + ycos³∅ = sin∅. cos∅
xsin∅= ycos∅

To prove:
x² + y² = 1 

Proof:

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∅ 

Also we know, sin²∅ + cos²∅ = 1 
Substituting the following values
sin∅ = y cos∅ = x 
Hence, x² + y² = 1 
                                                                                             HENCE PROVED

:) Hope This Helps!!!