Questions

If $y = \sec x^{\circ}, then \frac{d y}{d x}$ is

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a

sec x tan x

b

\sec x^{\circ} \tan x^{\circ}

c

\frac{π}{180} \sec x^{\circ} \tan x^{\circ}

d

None of these

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detailed solution

Correct option is C

Let y = sec x^o
$\begin{aligned} n o w, x^{\circ} = \frac{π}{180} \cdot x; ∴ y = \sec \frac{π}{180} x \\ n o w, \frac{d y}{d x} = \frac{π}{180} \sec \frac{x π}{180} \tan \frac{π}{180} x \\ \frac{d y}{d x} = \frac{π}{180} \sec x^{\circ} \cdot \tan x^{\circ} \end{aligned}$

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