How do you simplify the expression tan^2theta/(sectheta+1)+1tan2θsecθ+1+1?

1 Answer
Ananda Dasgupta
Nov 10, 2016

sec thetasecθ

Explanation:

Use tan^2 theta = sec^2 theta -1 tan2θ=sec2θ−1 to get
tan^2theta/(sectheta+1)+1 ={sec^2theta-1}/(sec theta+1)+1 = (sectheta -1)+1 = sectheta tan2θsecθ+1+1=sec2θ−1secθ+1+1=(secθ−1)+1=secθ

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