Question

Who will answer the question I will mark as brainlist....​

Answer 1

Answer:

y = √(1+sin x)/(1-sin x)

rationalising numerator and denominator

y = √(1+sin x)/(1-sin x)*(1+sin x)/(1-sin x)

y = √(1+sin x)^2 / (1-sin^2x)

y = √(1+sin x)^2 / cos^2x

y = (1+sin x) / cos x

differentiating with respect to x

d/dx y = d/dx (1+sin x)/cos x

dy/dx = [cos x d/dx (1+sin x) - (1+sin x) d/dx cos x] / (cos x)^2

d/dx = [cos x . cos x - (1+sin x)(-sin x)] / cos^2x

d/dx = [cos^2x + sinx + sin^2x] / cos^2x

d/dx = (1+sin x)/cos^2x

d/dx = sec^2x + sec x . tan

Step-by-step explanation:

plzz mark as brainlist