Question

if X=a sin theta & y=a cos theta then the value of x2+y2 is

Answer 1

Answer:

1

Step-by-step explanation:

$x=sin theta$ (eqn1)

$y=costheta$ (eqn2)

$x^{2}+y^{2}$ (eqn3)

substitute1 and 2 in 3

it becomes

$sin theta^{2}+costheta^{2}$

according to the identity

sin^2theta+cos^2theta=1

so it becomes according to the identity

$sin theta^{2}+costheta^{2}$=1

the value of$x^{2}+y^{2}$=1

=1

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