
Arturo O. answered 05/29/18
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I assume you want to simplify the expression. I also assume you meant to say
secθ / (1 + tan2θ) = ? [Please group things with parentheses.]
secθ / (1 + tan2θ) = (1/cosθ) / (1 + tan2θ) = 1 / (cosθ + sin2θ/cosθ)
= cosθ / (cos2θ + sin2θ) = cosθ/1 = cosθ