tan(x)sin(x) + sec(x)cos^2(x) = sec(x)

allhvasstH

allhvasstH

Answered question

2021-06-12

tan(x)sin(x)+sec(x)cos2(x)=sec(x)

Answer & Explanation

Nicole Conner

Nicole Conner

Skilled2021-06-13Added 97 answers

tan(x)=sin(x)cos(x).
tan(x)sin(x)=sin2(x)cos(x).
sec(x)=1cos(x);
sec(x)cos2(x)=cos(x).
tan(x)sin(x)+sec(x)cos2(x)=sin2(x)cos(x)+cos(x)

=sin2(x)+cos2(x)cos(x)=1cos(x)=sec(x){proved}
as we know sin2(x)+cos2(x)=1.

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