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Mathematics 9 Online
OpenStudy (dls):

Differentiate tanx(where x in degrees)

OpenStudy (dls):

\[\tan x ^{o}\]

OpenStudy (dls):

that is degree

OpenStudy (anonymous):

sinx/cosx, cos^2x+sin^2x/cos^2x, 1/cos^2x, sec^2x

OpenStudy (dls):

x is in degrees

OpenStudy (anonymous):

yes. it can also be theta

OpenStudy (dls):

no

OpenStudy (dls):

\[\frac{d(\tan \pi \frac{x}{180})}{d \pi \frac{x}{180} } \times d \frac{\pi \frac{x}{180}}{dx} = \sec^{2} \frac{\pi x}{180} \times \frac{\pi}{180} \]

OpenStudy (dls):

perhaps something like this,not sure

OpenStudy (dls):

thats what is written in sol

OpenStudy (nubeer):

they have just change degree into radians thats all

OpenStudy (dls):

No, \[\frac{d}{dx}tanx=\sec^2{x} \] is only possible when x is in radians.

OpenStudy (anonymous):

reqd ans is (pi)/180 (sec^2x) (here also x in degrees) actually before differentiating u have to convert x degree to radians ) and 1 degree = (pi)/180 radians

OpenStudy (nubeer):

yes that's what i said.

OpenStudy (dls):

okay..thanks!

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