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

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

Grade:11

1 Answers

Jitender Singh IIT Delhi
askIITians Faculty 158 Points
6 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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