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Trigonometry> if cos(x-y)=3 cos (x+y), then the value o...

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if cos(x-y)=3 cos (x+y), then the value of cotx.coty is

laxman , 11 Years ago

Grade 11

1 Answers

Jitender Singh

Last Activity: 11 Years ago

Ans:
Hello Student,
Please find answer to your question below

$cos(x-y) = 3cos(x+y)$
$cosx.cosy+sinx.siny = 3(cosx.cosy-sinx.siny)$
$cosx.cosy+sinx.siny = 3cosx.cosy-3sinx.siny$
$4sinx.siny = 2cosx.cosy$
$\frac{cosx.cosy}{sinx.siny} = 2$
$cotx.coty = 2$

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