Proof trigonometric identities. \sec^2(x)+\csc^2(x)=\sec^2(x)\csc^2(x)

Cheyanne Leigh

Cheyanne Leigh

Answered question

2021-09-08

Proof trigonometric identities.
sec2(x)+csc2(x)=sec2(x)csc2(x)

Answer & Explanation

ottcomn

ottcomn

Skilled2021-09-09Added 97 answers

Proof of trigonometric identities is required
sec2(x)+csc2(x)=sec2(x)csc2(x) 
We'll make use of the identity,
sin2x+cos2x=1 
Now, 
sec2x+csc2x=1cos2x+1sin2x 
=sin2x+cos2xcos2xsin2x 
=1cos2xsin2x 
=1cos2x1sin2x 
=sec2xcsc2x 
Therefore, sec2(x)+csc2(x)=sec2(x)csc2(x)

Jeffrey Jordon

Jeffrey Jordon

Expert2022-01-14Added 2605 answers

Answer is given below (on video)

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