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Sum of Cosines of Angles in Arithmetic Progression

If y =3log 91...

Question

$I f y = 3^{l o g_{9}^{(1 + t a n^{2} z)}} t h e n \frac{d y}{d x} =$

A

SecX

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B

tanx

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C

Secx tanx

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D

2Sec²x tanx

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Solution

The correct option is C
Secx tanx

$y = 3^{l o g_{9}^{(s e c^{2} z)}} = s e c x \Rightarrow \frac{d y}{d x} = s e c x t a n x$

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Sum of Cosines of Angles in Arithmetic Progression

Standard XII Mathematics

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