find the vertical asymptotes of the function y=sqrt((1-sin x)/(1+sin x))

Simplify using trigonometric identity: Simplify the expression inside the square root using the trigonometric identity for tangent half-angle. Calculation: Using the identity, (1 - sin x) / (1 + sin x) = (tan(x/2))^2.Substitute simplified expression: Substitute the simplified expression back into the original equation. Calculation: y = sqrt((tan(x/2))^2).Simplify square root: Simplify the square root of a square. Calculation: y = |tan(x/2)|.

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find the vertical asymptotes of the function
y=sqrt((1-sin x)/(1+sin x))

Find the vertical asymptotes of the function $y=\sqrt{\frac{1-\sin x}{1+\sin x}}$

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Q. Find the vertical asymptotes of the function

y=\sqrt{\frac{1-\sin x}{1+\sin x}}

Simplify using trigonometric identity: Simplify the expression inside the square root using the trigonometric identity for tangent half-angle. $\newline$ Calculation: $\newline$ Using the identity, $(1 - \sin x) / (1 + \sin x) = (\tan(x/2))^2$ .
Substitute simplified expression: Substitute the simplified expression back into the original equation. $\newline$ Calculation: $\newline$ $y = \sqrt{(\tan(\frac{x}{2}))^2}$ .
Simplify square root: Simplify the square root of a square. $\newline$ Calculation: $\newline$ $y = |\tan(\frac{x}{2})|$ .