Question

Will give brainliest! Which are simplified forms of the expression sec^2theta sin2theta

Answer 1

$\bf \cfrac{sin(2\theta )}{cos^2(\theta )}\implies \cfrac{1}{cos^2(\theta )}\cdot sin(2\theta )\implies sec^2(\theta )sin(2\theta )\\\\ -------------------------------\\\\ 2tan(\theta )\implies \cfrac{2sin(\theta )}{cos(\theta )}\implies \cfrac{2sin(\theta )cos(\theta )}{cos(\theta )cos(\theta )}\implies \cfrac{2sin(2\theta )}{cos^2(\theta )} \\\\\\ \cfrac{1}{cos^2(\theta )}\cdot sin(2\theta )\implies sec^2(\theta )sin(2\theta )$