Question

how do you prove this trigonometric identity show your work

Answer 1

$\huge\bold{\textbf{\textsf{{\color{cyan}{Answer}}}}}$

sec2θ(1+sinθ)(1−sinθ)=k+1

sec2θ(1−sin2θ)=k           (a+b)(a−b)=a2−b2

sec2θcos2θ=k

$\frac{1}{ {cos}^{2}0} . {cos}^{2}0 = k$