Question

if
$x = a \cos( \alpha )$
and
$y = \sin( \alpha )$
then
${x}^{2} + {y}^{2} =$
?

Answer 1

If x =a cos alpha

Y= a sin alpha

Then,

X ^2 +Y^2

=(a cos alpha)^2 +(a sin alpha) ^2

=a^2 cos^2 alpha + a^2 sin^2 alpha

=a^2 (cos^2 alpha+sin^2 alpha)

=a^2 ×1

=a^2

Hope it helps

Answer 2

please check attached