How can use the derivaties d/(dx)(sin x)=cos x. d/(dx)(tan x)=sec^2x, and d/(dx)(sec x)=sec x tan x to remember the derivatives of cos x, cot x, and csc x?

sagnuhh 2021-03-09 Answered
How can use the derivaties ddx(sinx)=cosx.
ddx(tanx)=sec2x,andddx(secx)=secxtanx to remember the derivatives of cosx,cotx,andcscx?
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Expert Answer

faldduE
Answered 2021-03-10 Author has 109 answers
Given,
ddx(sinx)=cosx,ddx(tanx)=sec2x,andddx(secx)=secxtanx
Step 2
Now,
ddx(cosx)=sinx,ddx(cotx)=csc2x,andddx(cscx)=cscxcotx
Therefore to remember these derivatives, replace cosx by sinx, secx by cscx and tanx by cotx and also note that the above derivative results are negative.
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