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What is the differentiation of tan^-1((1-sinx)/cosx)

What is the differentiation of tan^-1((1-sinx)/cosx) 

Grade:12th pass

1 Answers

Arun
25763 Points
2 years ago
Dear student
 
y = tan^-1 (sin x/2  – cosx/2)^2 / (cosx/2 – sinx/2)(cosx/2 + sinx/2)
 
y = tan^-1 (cos x/2 – sinx/2) / cos x/2 + sinx/2
 
y = tan^-1 (tan(pi/4 – x/2))
 
y = pi/4 – x/2
 
y = – 1 /2

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