Grade 12th passTrigonometry
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
1 Answer
Arun
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
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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