Question
$\cos A + \sin (270^\circ + A) - \sin (270^\circ - A) + \cos (180^\circ + A) = $
$=\cos A - \cos A + \cos A - \cos A = 0$.
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$A_1=\left\{(x, y): x \geq 0, y \geq 0,2 x+2 y-x^2-y^2>1>x+y\right\}$
$A_2=\left\{(x, y): x \geq 0, y \geq 0, x+y>1>x^2+y^2\right\}$
$A_3=\left\{(x, y): x \geq 0, y \geq 0, x+y>1>x^3+y^3\right\}$
$A_1, A_2$, एवं $A_3$ के क्षेत्रफल क्रमशः $\left|A_1\right|,\left|A_2\right|$, एवं $\left|A_3\right|$ है, तब
$(I)$ $[B C X]=[B C Y]$
$(II)$ $[A C X] \cdot[A B Y]=[A X Y] \cdot[A B C]$