Question

if sin theta = p and cos theta = q what is relation between p and q??​

Answer 1

$\sin( \alpha ) = p \: \: \: \: \cos( \alpha ) = q \\ \\ \\ squaring \: both \: sides \: in \: both \: the \: equations \: \\ \\ \\ \\ \sin {}^{2} ( \alpha ) = p {}^{2} \: \: \: \: \cos {}^{2} ( \alpha ) = q {}^{2} \\ \\ \\ \\ now \: add \: both \: the \: Equations \: \\ \\ p {}^{2} + q {}^{2} = 1$