Asked by help plsplspls
Prove the trigonometric identity.
tan x+cot x/csc x cos x=sec^2 x
__= sec^2x
__= sec^2x
__ = sec^2x
__= sec^2x
__ = sec^2x
1/cos^2x=sec^2x
sec^2x=sec^2x
tan x+cot x/csc x cos x=sec^2 x
__= sec^2x
__= sec^2x
__ = sec^2x
__= sec^2x
__ = sec^2x
1/cos^2x=sec^2x
sec^2x=sec^2x
Answers
Answered by
Reiny
I am sure you meant
(tan x+cot x)/(csc x cos x) = sec^2 x , or else it is not an identity the ways you typed it
LS =(sinx/cosx + cosx/sinx)/(1/sinx * cosx)
= ( (sin^2 x + cos^2 x)/(sinxcosx) )/(cosx/sinx)
= (1/sinxcosx)(sinx/cosx)
= 1/ cos^2 x
= sec^2 x
= RS
(tan x+cot x)/(csc x cos x) = sec^2 x , or else it is not an identity the ways you typed it
LS =(sinx/cosx + cosx/sinx)/(1/sinx * cosx)
= ( (sin^2 x + cos^2 x)/(sinxcosx) )/(cosx/sinx)
= (1/sinxcosx)(sinx/cosx)
= 1/ cos^2 x
= sec^2 x
= RS
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