If x sin A + y cos A = z, then x cos A-y sin A is equal to
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Given x sin (a + y) + sin a cos (a + y) = 0
x = [- sin a cos (a + y)]/sin (a + y)
= – sin a cot (a + y)
Differentiate w.r.t.y
dx/dy = -sin a. -cosec2 (a + y)
= sin a/sin2 (a + y)
dy/dx = sin2 (a+y)/sin a
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