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Grade 12th passTrigonometry

If cot(x) = 2 then find ((2+2sinx)(1−sinx)) / ((1+cosx)(2−2cosx))

Profile image of prabhat
8 Years agoGrade 12th pass
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3 Answers

Profile image of Deepak Kumar Shringi
8 Years ago
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Profile image of Amit
8 Years ago
Hi there.. take 2 common from numerator and 2 from denominator... It becomes cot²x which is equal to 4...
Profile image of Soumendu Majumdar
8 Years ago
Dear Student,
cot x = 2 → Given
Now,
(2+2sinx)(1-sinx)/(1+cosx)(2-2cosx)------>Multiplying numerator and denominator by taking 2 common
= 2(1-sin^2x)/2(1-cos^2x)
= cot^2x                                                     since sin^2x + cos^2x =1
= 4
 
Hope it helps!

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