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

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

Grade:12th pass

3 Answers

Deepak Kumar Shringi
askIITians Faculty 4405 Points
2 years ago
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Amit
405 Points
2 years ago
Hi there.. take 2 common from numerator and 2 from denominator... It becomes cot²x which is equal to 4...
Soumendu Majumdar
159 Points
2 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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