Grade 12th passDifferential Calculus
What is the differentiation of tan^-1((1-sinx)/cosx)
What is the differentiation of tan^-1((1-sinx)/cosx)
1 Answer
Arun
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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