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1 Pure Mathematics

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Question 55

Use the derivatives of sin⁡x \sin x\,sinx and cos⁡x\cos xcosx, where x x\,x is measured in radians, to show that

a.

ddx(tan⁡x)=sec⁡2x\dfrac{d}{dx}(\tan x) = \sec^2 xdxd​(tanx)=sec2x

[3]
b.

ddx(sec⁡x)=sec⁡xtan⁡x\dfrac{d}{dx}(\sec x) = \sec x\tan xdxd​(secx)=secxtanx

[3]
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1 Pure Mathematics Questions

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