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If sinx+siny=3(cosy-cosx)thttn what is the value of sin3x÷sin3y

If sinx+siny=3(cosy-cosx)thttn what is the value of sin3x÷sin3y

Grade:12th pass

1 Answers

Arun
25750 Points
5 years ago
From the given relation, we can write, 3 cos x + sin x = 3 cos y - sin y

put r cos theta=3 and r sin theta = 1 , then we get , r = sqrt( 10), tan theta= 1/3

so r cos ( x - theta)= r cos (x+theta)

x = - y

clearly x = - y satisfies the equation

therefore, x = - y

so 3x = -3y

sin 3x = sin (-3y) = - sin 3y

sin 3x / sin 3y = -1

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