Question
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
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
Related Questions
prove the following trigonometric identity:
(cos x/(1+sinx))+tanx = secx
Prove the following trigonometric identity: (sec^2x-1)(csc^2x-1)=1
Prove the identity: cos^4(x)-sin^4(x)=1-2sin^2(x).with explanation
im confused on this one cause...
Verify that the trigonometric equation is an identity. 1/2 sin 2 x − sin^2x over sinxcos2x = 1 over...