find th value of x cosec(90+thetha) +x costhta cot(90+thetha)=sin (90+thetha)

cosec (90� + A) + *x* cos A cot (90� + A) = sin (90� + A)

? 1 + *x* cos A cos (90� + A) = sin^{2} (90� + A)

? 1 � *x* cos A sin A = cos^{2} A [cos (90� + A) = � sin A]

? 1 � cos^{2} A = *x* cos A sin A

? sin^{2} A = *x* cos A sin A

? sin A ( *x* cos A � sin A) = 0

? *x* = tan A (If sin A ? 0)