Proof trigonometry identities.\cot(x)+\tan(x)+\sec(x)\csc(x)=2\sec(x)\csc(x)

postillan4

postillan4

Answered question

2021-09-05

Proof trigonometry identities.
cot(x)+tan(x)+sec(x)csc(x)=2sec(x)csc(x)

Answer & Explanation

tafzijdeq

tafzijdeq

Skilled2021-09-06Added 92 answers

To prove: The identity cot(x)+tan(x)+sec(x)csc(x)=2sec(x)csc(x)
Proof:
L.H.S=cotx+tanx+secxcscx
=cosxsinx+sinxcosx+secxcscx
=cos2x+sin2xsinxcosx+secxcscx
=1sinxcosx+secxcscx
=cscxsecx+secxcscx
=2secxcscx
=R.H.S.
Hence the result is proved.
Jeffrey Jordon

Jeffrey Jordon

Expert2022-01-31Added 2605 answers

Answer is given below (on video)

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